The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph?

(−9, −2)
(−17, −2)
(−2, −17)
(−2, −9)

Answers

Answer 1

Answer:

D) [tex](-2,-9)[/tex]

Step-by-step explanation:

Vertex Form of a Vertical Parabola:

[tex]y=a(x-h)^2+k[/tex]

Vertex -> [tex](h,k)[/tex]

Axis of Symmetry -> [tex]x=h[/tex]

Vertical Scale Factor -> [tex]a[/tex]

To turn [tex]f(x)=x^2+4x-5[/tex] into vertex form, we need to complete the square on the right sideTherefore, if [tex]f(x)=0[/tex], then [tex]0+9=x^2+4x-5+9[/tex] completes the square on the right side This becomes [tex]9=(x+2)^2[/tex]This means that our function in vertex form is [tex]f(x)=(x+2)^2-9[/tex]

Therefore, the vertex of the graph is [tex](h,k)=(-2,-9)[/tex].

Answer 2

The coordinates of the vertex of the graph is (-2, -9).

What are Quadratic Functions?

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given is a quadratic function,

x² + 4x - 5

Given that axis of symmetry of the function is x = -2.

So the x coordinate of the vertex = -2.

y coordinates = f(-2) = 4 - 8 - 5 = -9

Hence the vertex is (-2, -9).

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Related Questions

What is the factorization of the trinomial below?
2x2 + 11x + 12
O A. (2x + 1)(x+12)
O B. (2x+3)(x + 4)
O C. (2x + 4)(x+3)
O D. (2x+6)(x + 2)

Answers

Answer:

O B. (2x+3)(x + 4)

Step-by-step explanation:

[tex]2x^{2} +11x+12[/tex]

[tex]2x^{2} +8x+3x+12[/tex]

[tex]2x(x+4)+3(x+4)[/tex]

[tex](2x+3)(x+4)[/tex]

it’s B. (2x+3)(x + 4)

What is the area of the sector that is not shaded?

0 12 tt units
O 24 tt units?
0 120rt units
O 144rt units?

Answers

there’s no photo attached but i’ll be happy to help you with the question!

The area of the sector that is not shaded is 120π units²

Option C is the correct answer

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is pir^2.

We have,

The circle has 360°.

This can be written as,

Area = πr² x 360/360

Now,

The area of the not-shaded part has (360 - 60)°

So,

Area = πr² x 300/360

Now,

r = 12 units

Area = π x 12 x 12 x 300/360

Area = 120π units²

Thus,

The area of the sector that is not shaded is 120π units²

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i’ll give you what eva you like

Answers

Answer:

Number of additional inches= x

Number of additional topping= y

Total cost= 8+1.5(x)+0.75(y)

cost of pizza= 8+1.5x+0.75y

-----------------------

hope it helps...

have a great day!!

WILL MARK BRAINLIEST!!!!!find the length of AC

Answers

AC= 20!! simply use the pythagorean theorem. 15 squared + b squared = 25 squared. 225 + b squared = 625. b squared= 400, b=20, AC=20.

Answer:

20

Step-by-step explanation:

a²+b²=c²

25²-15²=b²

625-225=b²

400=b²

√400=√b²

20=b

group the like terms separately? 3v^5-10v^2-12v^5+14v^2​

Answers

so here you just add them as if they were regular numbers. -9v^5+4v^2, hope it helped.

if h(x) =5 for the function h(x) =2x+1 what is the value of x

Answers

Answer:

h (x) = 5

h (x) = 2x + 1

h (x) = 2 x 2 + 1 = 5

x = 2

Answer:

x = 2

Step-by-step explanation:

Its given that h(x) = 2x + 1

But its also given that h(x) = 5

[tex]=> h(x) = 2x + 1 = 5[/tex]

[tex]=> 2x + 1 = 5[/tex]

Solve the equation.

Substract 1 from both the sides.

[tex]=> 2x + 1 - 1 = 5 - 1[/tex]

[tex]=> 2x = 4[/tex]

Divide both the sides by 2.

[tex]=> \frac{2x}{2} = \frac{4}{2}[/tex]

[tex]=> x = 2[/tex]

Jackie bought an iphone for $200. Find the total
cost including a 7% sales tax,

Answers

Find 7% of 200

7% = 7/100

Divide 7 by 100

7/100

= 7 ÷ 100

= 0.07

Multiply 0.07 to 200

0.07 × 200

= 14

Add 14 to 200

200 + 14

= 214

Therefore, the total cost of the iphone including sales tax is $ 214

assssssssssssssssssssssssssssssssss

Answers

Answer:

15, 9, 3n

Step-by-step explanation:

Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls

Answer:

What math game is this?

Oh and this guy is correct.

Step-by-step explanation:

Solve c =(a² + 3b)/4 for b.

Bruv take all my points I literally blow at math :'(​

Answers

Answer:

[tex]b=\frac{4c-a^{2} }{3}[/tex]

Step-by-step explanation:

First: multiply both sides by 4. 4 times c is 4c and the other sides cancels out as you are doing the inverse operation of division

Then, you have [tex]4c=a^{2} +3b[/tex]

Subtract both sides by a squared

DO NOT TAKE THE SQUARE ROOT! This is because it is a squared plus 3b so you have to do the inverse of addition

From that you get [tex]4c-a^{2} =3b[/tex]

Finally, divide both sides by 3.

You get  [tex]b=\frac{4c-a^{2} }{3}[/tex]

4 x − 3 x + 2 y (simplify)

Answers

[tex]\huge\text{Hey there!}\\\\\large\text{4x - 3x + 2y}\\\\\large\text{\underline{\underline{COMBINE the LIKE TERMS}}}\\\\\large\text{(4x - 3x) + 2y}\\\\\large\text{4x - 3x = \bf 1x }\large\text{(or you could simply say \underline{x} because a variable by itself}\\\large\text{is understood as an invisible 1)}\\\\\large\text{\bf x + 2y}\\\\\\\boxed{\boxed{\huge\text{Therefore your answer is: x + 2y}}}\huge\checkmark\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

hey again can u help me with this

Answers

Answer:

option  C

Step-by-step explanation:

We will take 2 coordinates from the graph and Find the equation of the line.

Let the coordinates be : ( 0, 1) and (1, 3)

step 1 : find slope

[tex]slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2[/tex]

Step 2 : equation of the line :

[tex]( y - y_1) = m (x- x_1)[/tex]

[tex](y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1[/tex]

Therefore, y = 2x + 1 represent the equation of the line.

Answer:

C

Step-by-step explanation:

You need to solve for y = mx + b

You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have

y = mx + 1 so far.

Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.

The clearest point I can see is (-2,-3) which means that

x = -2

y = - 3

Put that into the equation and solve for m.

-3 = m(-2) + 1          Subtract 1 from both sides

-3-1 = m(-2)             Combine

-4 = -2 m                 Divide both sides by - 2

-4/-2 = m

m = 2

Answer

only a and c are real choices. That's because m = 2 in both cases.

The equation we got is y = 2x + 1 which is c

Semi easy-which boxplot represent the 5 number summary

Answers

I don’t know the answer but how was your day:)

Someone please help me ASAP!!

Answers

Answer:

B' = (-6,6)

Step-by-step explanation:

The coordinates of B are (-2,2)

If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)

what is this app and why are you reading this

Answers

Brainly, I’m looking for questions to answerrrrrr

Write the equation of the line that passes through the points (-8,-1) and (−2,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

not sure if understood you; slope: (-1-9)/(-8+2)=-10/-6=5/3, y-int: -1-(-40/3)=37/3; y=5/3x+37/3

What’s the answer please.

Answers

Answer:

[tex]\frac{m^{3}n+5 }{m^{2}n^{2} }[/tex]

Explanation :

is down below in the picture

Please give me brainiest!!


Select the correct answer.
A triangle with vertices at A(0, 0), BIO, 4), and C16, 0) is dilated to yield a triangle with vertices at Ato, O), BIO, 10), and C[15, 0). The origin is the center of dilation. What is the
scale factor of the dilation?
OA 1.5
OB.
2
OC. 2.5
OD. 3

Answers

Answer:

c. 2.5

Step-by-step explanation:

4×2.5 => 10

6×2.5 => 15

so scale factor = 2.5

Find the gradient of the line y= -4x + 5

Answers

Answer:

m = -4

Step-by-step explanation:

The given y= -4x + 5 exactly matches the format of the slope-intercept equation   y = mx + b.

Thus, the gradient (slope) of the given line is -4.

They are selling lollipops for $0.50 and candy bars for $1.50

Lydia buys 6 lollipops and some candy bars.

If she spends $15.00 in total, how many candy bars, b, did Lydia buy?

Answers

Answer: $12.00

If you times 6 by 50 then you get $3.00 that is the answer for the lollipop you have to minus $15.00 by $3.00 which is $12.00

Can someone help me? It's urgent and thank you!

Answers

Answer:

-6 and -1

Step-by-step explanation:

The excluded values are the values of x that satisfy [tex]2x^{2} + 14x + 12 = 0[/tex]

Let us solve the equation [tex]2x^{2} + 14x + 12 = 0[/tex]

It's a quadratic equation

Thus, let us calculate the discriminant Δ

Δ [tex]= 14^{2} - 4 .2.12 = 100[/tex]

the discriminant is greater than 0, so the equation has two solutions

[tex]x = \frac{-14 - 10}{4} = \frac{-24}{4} = -6[/tex]  or  [tex]x = \frac{-14+10}{4} = \frac{-4}{4} = -1[/tex]

the excluded values are -6 and -1

Which solution finds the value of x in the triangle below?

Answers

Answer: B

Step-by-step explanation:

The answer would be B.

8. Find the area of the regular polygon.​

Answers

Answer:

To find the area of a regular hexagon, or any regular polygon, we use the formula that says Area = one-half the product of the apothem and perimeter. As shown below, this means that we must find the perimeter (distance all the way around the hexagon) and the measure of the apothem using right triangles and trigonometry. Area of a Hexagon

Step-by-step explanation:

if gon had 40 tubs of orange juice then killua gave gon 29348211239587316837637869437637689767609 more tubs of orange juice, how many tubs of orange juice would gon have?

Answers

Answer:

It would be 2.9348211e+40

Step-by-step explanation:

Use a calculator

Bro no offense but use a calculator

In the graph above, what's the distance between (0, 2) and (5, 2)? Question 16 options: A) 2 units B) 5 units C) –5 units D) 4 units

Answers

Answer:

B) 5 units

Step-by-step explanation:

The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.

What is the distance between two points?

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The two pints are given below.

(0, 2) and (5, 2)

Then the distance between these points (0, 2) and (5, 2) will be given as,

D² = (5 - 0)² + (2 - 2)²

D² = 5²

D = 5 units

The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.

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Given ΔUTS with coordinates U(-4,-3), T(-2,1), S(0,-2), rotate the figure 90° Counterclockwise about the origin

Question 8 options:

U'(-2,1) T'(-4,-2) S'(0,0)

U'(4,3) T'(2,-1) S'(0,2)

U'(3,-4) T'(-1,-2) S'(2,0)

U'(-2,-2) T'(0,2) S'(2,-1)

Answers

Answer:

U'(3,-4) T'(-1,-2) S'(2,0)

Step-by-step explanation:

Firstly, we need the general rotation method

We have this as;

(x,y) to (-y,x)

So;

U (-4,-3) becomes U’ (3,-4)

T(-2,1) becomes T’(-1,-2)

S(0,-2) becomes S’ (2,0)

need help ASAP thank you :)

Answers

C) 6 when it says median it means middle
Nearest to one whole number is 6 tho

pls solve them all pls

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

Raffle tickets cost $6 for 5 tickets. What is the price of 1 ticket? How many tickets can you get for $90​

Answers

Answer:

1 ticket is worth 1.2$

90$ gets you 75 tickets

Step-by-step explanation:

t=ticket(s)

6=5t

6/5=t

90/(1.2)=75

Answer:

1 ticket = $1.2

Step-by-step explanation:

What is the simplified form of [tex]3\sqrt{135}[/tex]?

Answers

The answer is: [tex]9\sqrt{15}[/tex]

=5.12992784
Rounded to the nearest 1d.p would be 5.1
And to the nearest whole number it would be 5

please help i dont understand this

Answers

Answer:

yeah me too

Step-by-step explanation:

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