Sketch the graph of y = (x - 2)2 - 16, then select the graph that corresponds
to your sketch.
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Answer:
B) Graph B
Step-by-step explanation:
The quadratic equation in vertex form is represented by: y = a(x - h)² + k, where:
(h, k) = vertex
x = h : axis of symmetry
a = indicates a reflection in the x-axis; it also determines the graph's vertical stretch or shrink.
a > 0 the graph opens up.a < 0: the graph opens down.h = indicates a horizontal translation.
k = indicates a vertical translation.
Given the given quadratic equation, y = (x - 2)² - 16:
The vertex occurs at point, (2, -16), and a = 1. Since the value of a is positive, then it implies that the graph opens upward, and the vertex is its minimum point. The axis of symmetry occurs at h = 2.
To determine another point to use as a reference (and also for graphing) is solving for the equation's y-intercept, which is the point where it crosses the y-axis (where x = 0).
Y-intercept: set x = 0:
y = (x - 2)² - 16
y = (0 - 2)² - 16
y = (-2)² - 16
y = 4 - 16
y = -12
Therefore, the y-intercept is (0, -12).
Therefore, the graph that matches these given descriptions is Graph B.
Attached is the graphed quadratic equation where it shows the vertex, y-intercept, and the axis of symmetry.
Related Questions
The hypotenuse of a certain number is 5 units and one leg is 3 units long. Find the area of the triangle
Answers
Answer:
Area: 6
Step-by-step explanation:
It's a five, four, three triangle. Multiply 3 by 4, then divide the answer by 2 to find the area.
Solve by drawing an area model and then use the standard algorithm: 432 x 620
Answers
trust me bro
Percent of 51,300-45,800
Answers
Answer: the percent is 112.01. please mark brainliest
Step-by-step explanation:
The table below represents a linear function. Identify the rate of change of the function.
(0,4) (4,-3) (8,-10) (12,-17)
Answers
Step-by-step explanation:
the rate of change is the slope of the line y/x. it is always the factor of x in the equation.
it indicates how many units y changes, when x changes a certain amount of units when going from one point to another.
we only need to look at 2 points.
to go from (0, 4) to (4, -3)
x changes by +4 (from 0 to 4),
y changes by -7 (from 4 to -3).
so the rate of change is -7/3
PLS HELPPP
FIND X
I will mark braniliest
Answers
Answer:
x = 11
Step-by-step explanation:
∠ EAB = ∠ AED = 4x ( alternate angles )
∠ AEB and ∠ GEB are adjacent angles on a straight line and sum to 180° , so
∠ AEB + 125° = 180° ( subtract 125° from both sides )
∠ AEB = 55°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBC is an exterior angle of the triangle , then
∠ EBC = ∠ AEB + ∠EAB , that is
9x = 55 + 4x ( subtract 4x from both sides )
5x = 55 ( divide both sides by 5 )
x = 11
Write the equation of the arithmetic sequence “24, 34, 44, 54...” and then Find the 100th term.
show your work.
Answers
Answer:
1014
Step-by-step explanation:
Remember this formula to find certain terms in arithmetic sequences:
[tex]t_{n} =t_{1} +(n-1)d[/tex]
n = term number
[tex]t_{1}[/tex] = term #1
d = common difference
Sequence = 24, 34, 44, 54...
We are looking for term #100
So we do
[tex]t_{100} = 24 + (100-1)10\\t_{100} = 24 + 1000 - 10\\t_{100} = 24 + 990\\t_{100} = 1014[/tex]
You are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you learned that one of the leading causes of road accidents is over speeding.
In your desire to minimize road accidents, you went out to observe how traffic management rules are implemented on the streets. Your attention was caught by a fast - moving car that seemed to be breaking the speed limit of 100 kilometers per hour(km/hr.), and so you followed it along the highway. After a short time, the driver of the car noticed you and started to slow down. Eventually, he stopped on the side of the road.
Supposed the speed of the car had been noted during this time and is modeled by the quadratic equation y = 3x² + 17x - 20, where y represents the speed of the car in km/hr. and x represents the number of minutes after you started following the car. How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain. The result of your observation will be presented to the students in your section and will be graded by your teacher.
Answers
Step-by-step explanation:
3(100)2 + 17(100) - 203(10000) + 1700 - 20
30000 + 1700 - 20
31680
(-9,6) and (-3,2) help pls
Answers
(-9,6) and (-3,2) help pls
Answer : -12.8
A jar contains 0.25 liter of apple juice and 0.30 liter of grape juice. Melissa poured 0.75 liter of pineapple juice into the jar. She then drank 0.20 liter of the mixture. Part A: Write an expression to represent the total amount of juice left in the jar. (5 points) Part B: Simplify the expression and identify which property is used in each step. (5 points)
Answers
Answer:
Part A: Total amount of juice left = 0.25 + 0.30 + 0.75 - 0.20
Write an expression for the operation described below.
the product of r and s
Answers
Answer:
r + s
Step-by-step explanation:
the product of r and s
\/
Addition
\/
the product of r and s
\/
r + s
Have a nice day!
If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
-18 = 3 (-z + 6) + 2z
Answers
Answer:
z = 36
Step-by-step explanation:
1) Distribute
-18 = -3z + 18 + 2z
2) Combine like terms
-18 = -z + 18
3) Subtract 18 from both sides of the equation
-18 - 18 = -z + 18 - 18
4) Simplify
a. Subtract the numbers
-36 = -z + 18 - 18
b. Subtract the numbers
-36 = z
5) Divide both sides of the equation by the same term
-36/ - 1 = -z/-1
6) Simplify
a. Divide the numbers
36 = -z/-1
b. Cancel terms that are in both the numerator and denominator
36 = z
c. Move the variable to the left
z = 36
3(6x+2)<9 solve the inequality
Answers
3(6x+2) <9
Use distributive property:
18x + 6 < 9
Subtract 6 from both sides
18x < 3
Divide both sides by 18
X < 3/18
Simplify:
X < 1/6
A company has 24 employees. Each employee volunteers to bring 1 item to the local school fundraiser.
One-fourth of the employees bring pencils.
One-third of the employees bring paper.
The rest of the employees bring notebooks.
How many employees bring notebooks?
Answers
Answer:
6 employees bring pencils
8 employees brings paper
6+8=14
Company:24 employees- 14 employees who brong paper and pencils.=10 so 10 employees brings notebooks.
Step-by-step explanation:
Answer:
6 employees bring pencils
8 employees bring paper
10 employees bring notebooks
Step-by-step explanation:
1/4= 6
1/3= 8
the rest = 10
c.
The family purchased refreshments and spent a total of $18.50. If the total amount of money spent
on tickets and refreshments was $94.50, use an equation to find the cost of one regular admission
ticket.
How would you write the equation?
Answers
(94.50 - 18.50) ÷ f = a
f=family members
a=answer
I don't know how many family members there are, but you would just replace f with the amount.
Plzzzzzx help meeeeee
Answers
Step-by-step explanation:
first find out the area of sector ECF
π(10)² × 40°/360°
=100π×1/9
=100π/9 m²
now find the area of sector DCG
π(2)² × 40°/360°
=4π/9 m²*
so the area of the shaded region would be the big sector minus the small sector
so
100π/9 - 4π/9
=96π/9
=33.5 m² (3sig.fig.)
*Note that 4π/9 DOES NOT equal to 2π/3
4/9 DOES NOT EQUAL TO 2/3
Which of these inequalities is graphed below
Y>2x-6
Y<2x-6
Y<2x-6
Y>2x-6
Answers
Answer:
D
Step-by-step explanation:
The line looks dotted (image quality isn't the best) so we can already exclude the inequalities with [tex]\le[/tex] or [tex]\ge[/tex]. At this point let's check an "easy" point, 0.0.
[tex](0)>2(0)-6 \rightarrow 0>-6[/tex] Which is indeed true. The correct answer is D
independent practice write linear equations lesson 6
Answers
Answer:
1)y=2x+7
2) unsure what the question is due to blur
3)y=3/4x-2
4)y=-2x
Answer:
Step-by-step explanation:
1) (1,9) ; slope = 2
Point slope form:
y - y₁ = m(x - x₁)
y - 9 = 2(x - 1)
Slope intercept form:
y - 9 = 2x - 2
y = 2x - 2 + 9
y = 2x + 7
3) (-4 , -5) ; slope = 3/5
Point slope form:
y - y₁ = m(x - x₁)
[tex]y - [-5] = \dfrac{3}{4}(x - [-4])\\\\\\y + 5 = \dfrac{3}{4}(x + 4)[/tex]
Slope intercept form:
[tex]y + 5 = \dfrac{3}{4}x + 4*\dfrac{3}{4}\\\\y + 5 =\dfrac{3}{4}x + 3\\\\y = \dfrac{3}{4}x +3 -5 \\\\\\y = \dfrac{3}{4}x - 2[/tex]
Complete the equation to calculate the cost of the portable speaker, including sales tax.
$53
=
% of $50
Answers
Answer: The answer to this math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax is $94.34.
Step-by-step explanation: I don't have any step-by-step explanation, I'm sorry about that, but anyway, I hope that my given short answer is very helpful to your own math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax, please mark me as Brainliest, take care, always be safe, and have a great rest of the day! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
The size of an insect population doubles every week. If there are 25 insects initially present, how many insects will there be in eight weeks?
Answers
Answer:
tence there will be 6,00 insects abter 8 weeks.
Step-by-step explanation:
Help me! Quick! Please. 25 points
Answers
Answer:
A. would be correct
Step-by-step explanation:
if 1 package is $8 and 2 packages cost $16
the ratio would be $8:1 so the unit rate would be $8 per package
Which is equivalent to 4√3
will mark brainlist if right
Answers
Answer:
The result can be shown in multiple forms.
Exact Form: 4√3 = √48
Step-by-step explanation:
4√3 is equivalent to √48
help plzz 78 % of R340 ,00
Answers
Answer:
R26,520
Step-by-step explanation:
78÷100×34000. This is the explanation
170 students or 85% of the students went to attend college what are the total number of students?
Answers
Answer:
200
Step-by-step explanation:
I think sorry if I am wrong
am i correct ?? for a brainly and pls explain
Answers
Answer:
Yes.
Step-by-step explanation:
Because
6*4 =24
and 4*0 = 0,
24+0=24
have a nice day!!!
How many video games were sold in the year 2001
Answers
Answer:
265
Step-by-step explanation:
you only need to do is simplify the expression.
-0.75___-3/4
which one is greater
Answers
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\huge\text{GUIDE} \ \boxed{\downarrow}\\\large\boxed{\mathsf{>: is \ \bf greater \ than }}\\\\\large\boxed{\mathsf{<: is \bf \ less\ than}}\\\\\large\boxed{\mathsf{\geq: is \ \bf greater\ than\ or\ equal\ to}}\\\\\large\boxed{\mathsf{\leq: is\ \bf less\ than\ or\ equal\ to}}\\\\\large\boxed{\mathsf{=: is \ \bf equal \ to}}[/tex]
[tex]\huge\text{GUIDE \#2}\ \boxed{\downarrow}\\\large\text{When you are working with greater than, you're basically shows}\\\large\text{when a number is BIGGER than the other number.}\\\\\large\text{When you are working with less than you are finding the opposite}\\\large\text{of greater than. (it shows when a number is SMALLER than the}\\\large\text{number.)}[/tex]
[tex]\\\large\text{When you are working with greater than or equal to, you are }\\\large\text{basically finding out if the number is greater or equal to the other }\\\large\text{number.}\\\\\large\text{When you are working with less than or equal to you are trying to}\\\large\text{figure out if your number is less than or equal to the other}\\\large\text{number.}[/tex]
[tex]\huge\text{ANSWERING YOUR GIVEN QUESTION}\ \boxed{\downarrow}[/tex]
[tex]\large\boxed{\rm{-0.75 \ ? \ -\dfrac{3}{4}}}[/tex]
[tex]\large\text{I'm going to make this easier to solve for you. I will convert the}\\\large\text{fraction }(\rm{-\dfrac{3}{4}})\large\text{ into a decimal. To do so, you have to DIVIDE the}\\\large\text{numerator (the number on TOP) from the denominator (the}\\\large\text{BOTTOM number)}[/tex]
[tex]\large\text{REMEMBER }\textbf{!}\\\large\text{Negatives are BELOW zero. (including decimals \& fractions).}\\\\\large\text{Positives are ABOVE zero}[/tex]
[tex]\large\boxed{{\mathsf{- \dfrac{3}{4}}}}\\\\\\\large\boxed{\mathsf{\rightarrow - 3\div 4}}\\\\\\\large\boxed{\rightarrow\mathsf{-0.75}}[/tex]
[tex]\large\text{Therefore, -0.75 and }\rm{-\dfrac{3}{4}}\large\text{ are equivalent to each other}[/tex]
[tex]\huge\boxed{\text{Therefore, your answer is: }}\ \huge\boxed{\mathsf{-0.75 \bold{\ =} -\dfrac{3}{4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
The number farthest to the right is the greater number.
Step-by-step explanation:
-2z+3-z=□-4z+2
please give me the answer
Answers
Step-by-step explanation:
[tex]\displaystyle \rm -2z+3-z=-4z+2 \\\\ -3z+3=-4z+2 \\\\ 4z-3z=-3+2 \\\\ \underline{z=-1 \ \ \ \ } \\\\[/tex]
[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]
Given to solve: -2z+3-z = -4z+2
⇛ -3z + 3 = -4z + 2
⇛ -3z + 4z = 2 - 3
⇛ z = -1
Required value of z is -1. The steps we followed are: We shifted z to a single side and other numbers to other side. Then we equated to get the result.
Which equation demonstrates the additive identity property?
0 (7+4i)+(7-4i) = 14
O (7+4i)+ 1 = 7+4i
(7+4)(1) = 7+4)
O (7+4i)+(-7-4i)= 0
Answers
Answer:
A
Step-by-step explanation:
The Explication 0 (7+4i)+(7-4i) = 14
The correct equation which demonstrates the additive identity property is,
⇒ (7 + 4i) + 0 = 7 + 4i
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Now, If we add a real number to zero or add zero to a real number, then we get the same real number back.
Hence, The number zero is known as the identity element, or the additive identity.
For example: a + 0 = a
Hence, we can see that;
⇒ (7 + 4i) + 0 = 7 + 4i
Since, 0 is the additive identity here.
Thus, The correct equation which demonstrates the additive identity property is,
⇒ (7 + 4i) + 0 = 7 + 4i
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ7
wus 9 + 10 equal please help wus 9 = 10
Answers
Answer:
19
Step-by-step explanation:
it is 19
yes
wait no its 100000000000
I big brain UwU
Answer:
Step-by-step explanation:its 21
if you help me you get brainly
Answers
Answer:
3 ( 917 ) = 3 ( 900 ) + 3 ( 10 ) + 3 ( 7 )
5 ( 209 ) = 5 ( 200 ) + 5 ( 0 ) + 5 ( 9 )
6 ( 347 ) = 6 ( 300 ) + 6 ( 40 ) + 6 ( 7 )
9 ( 821 ) = 9 ( 800 ) + 9 ( 20 ) + 9 ( 1 )
11 ( 142 ) = 11 ( 100 ) + 11 ( 40 ) + 11 ( 2 )
Step-by-step explanation:
Answer:
Hint(look at the first number in each part and math it with the first number in each answer.) For example, 3(937), the distributive property for that one would be 3(900) + 3(30) + 3(7). Then for 5(209) it would be 5(200) + 5(0) + 5(9), then for 6(342), it would be 6(300) + 6(40) + 6(2). Then for 9(821), it would be 9(800) + 9(20) + 9(1), and for the last one it would be 11(143), it would be 11(140) + 11(40) + 11(3). You basically distribute each amount into different place values.
Step-by-step explanation:
Hope it helps. Mark brainiest if it does!
