The graph of h is the graph of f(x) = x2 translated 2 units left and 5 units up. What is the vertex form of this function?
A. h(x) = (x + 2)2 + 5
B. h(x) = (x - 2)2 + 5
C. h(x) = (x + 5)2 + 2
D. h(x) = (x + 5)2 - 2

The Graph Of H Is The Graph Of F(x) = X2 Translated 2 Units Left And 5 Units Up. What Is The Vertex Form

Answers

Answer 1

Answer:

A. [tex]h(x) = (x+2)^{2}+5[/tex]

Step-by-step explanation:

First, we need to defined the two transformations required to derive [tex]h(x)[/tex].

Vertical translation

[tex]n(x) = m(x) +k[/tex], [tex]k \in \mathbb{R}[/tex] (1)

Where:

[tex]k > 0[/tex], upwards.

[tex]k < 0[/tex], downwards.

Horizontal translation

[tex]n(x) = g(x+k)[/tex], [tex]k\in \mathbb{R}[/tex] (2)

Where:

[tex]k > 0[/tex], leftwards.

[tex]k < 0[/tex], rightwards.

Let [tex]f(x) = x^{2}[/tex], if [tex]h(x)[/tex] is translated 2 units left and 5 units up, then we have the resulting expression:

[tex]h(x) = (x+2)^{2}+5[/tex] (3)

Hence, correct answer is A.


Related Questions

A garden sells soil by weight, rounded to the nearest tenth of a pound, Elizabeth has 43.479 pounds of soil. What is the weight rounded to the nearest tenth of a pound?

Answers

Answer: 43.48 Pounds

Step-by-step explanation:

Given

Elizabeth has 43.479 pounds of soil

Rounding off to the nearest tenth of a pound

Consider 79 which occurs after the decimal place

Converting it to 80 as it is nearest to 80

So, we can write 43.479 as 43.48 Pounds

is it weird that im scared of my boy bsf

Answers

Answer:

No, not really.

Step-by-step explanation:

It kinda depends on what your best friend does. Do they act suspicious around you? Feel free to talk to me if you need help.

i need help plz answer correctly, im giving brainliest and extra points for the 1st person so you better hurry.

Answers

Answer:

jsjzjdjdjdkthtabzgbgzbtzngzngzngsnysngsngdjysjysj

Find the area of the trapezoid. ​

Answers

Answer:

A 303.66

Step-by-step explanation:

b1+b2÷2×h is the formula.

So step by step.

29.2+19=48.2

48.2÷2=24.1

24.1×12.6=303.66

The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.

It is required to find the area of a trapezoid.

What is a trapezoid?

It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.

We know the formula for the area of a trapezoid:

[tex]\rm Area = \frac{a+b}{2} \times h[/tex]   Where 'a' is the long base, 'b' is the short base and 'h' is the height.

We have a = 29.2 in

               b = 19 in

               h = 12.6

By putting these values in the formula, we get:

[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]

Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

Learn more about the trapezoid here:

https://brainly.com/question/4758162

In ACDE, the measure of E=90°, the measure of C=70°, and DE = 12 feet.
Find the length of CD to the nearest tenth of a foot.

Answers

Answer:

Step-by-step explanation:

12.8 feet

A new laptop costs $1100 and has a new book value of $375 after 2 years. Find the linear model V(t)=Mx+b

Answers

Answer:

- 362.5t + 1100

Step-by-step explanation:

Given :

Value, = v ; time, = t

t1, v1 = (0, 1100)

t2, v2 = (2, 375)

Slope, m = v2 - v1 / t2 - t1

m = (375 - 1100) / (2 - 0)

m = - 725 / 2

m = - 362.5

v - v1 = m(t - t1)

v - 1100 = - 362.5(t - 0)

v - 1100 = - 362.5t

v = - 362.5t + 1100

Find the surface area of the cylinder. Use 3.14 for π.

Answers

Answer: 87.96 mm^2

Step-by-step explanation:

The formula is 2 π r h + 2 π r^2

So then just substitute the variables.

Your local radio station is having their yearly CD and concert ticket giveaway. For one minute every 4th caller will win a CD and every 7th caller will win a concert ticket. You were the second caller to win both a CD and a concert ticket. What number caller were you?

Answers

Answer:

i was number #173

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

You have to find the lcm, and that is 56!  Hope that helps.

Convert the fraction into a percentage.
3 = %
(Enter number as a whole number without the percentage sign.)
Pls help me

Answers

Answer:

75%

Step-by-step explanation:

3 is 75 the way to 4 so it would be 75%

En el transcurso del 2015 – 2018 visitaron alrededor de 8700 turistas la playa, de los cuales el 35,10% fueron Extranjeros y el 64,9% fueron nacionales. ¿Cuántos turistas fueron extranjeros y cuantos nacionales?

Answers

Answer:

Los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.

Step-by-step explanation:

De acuerdo a la información proporcionada, debes calcular el 35,10% del total de turistas para determinar el número de turistas extranjeros y el 64,9% del total de turistas para encontrar el número de turistas nacionales:

8700*35,10%=3054

8700*64,9%=5646

De acuerdo a esto, la respuesta es que los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.

Find the VOLUME of the rectangular prism below.
Volume =
cubic cm
21 cm
12 cm
38 cm

Answers

The answer is 2x2+5x-18. I know this is right because i passed my Algebra 2 class with a 98.

20 POINTSS PLEASE HELP

Answers

Answer:

14 units

Step-by-step explanation:

it's 7 the length of a shape doesn't change when it's just reflected over the x or y axis

find the value of given expression

[tex] \sqrt[3]{9 - 1} [/tex]

Answers

Answer:

2

Step-by-step explanation:

[tex] \sqrt[3]{9 - 1} \sqrt[3]{8} \\ = 2[/tex]

Martha ran 310 meters during P. E. class today. How many centimeters did Martha run?

Answers

Answer:

31000

Step-by-step explanation:

hope this helps :)

Answer:

31000

Step-by-step explanation:

What is an equation of a circle whose center is (1,4) and diameter is 10?

Question options:

x2 − 2x + y2 − 8y = 83


x2 − 2x + y2 − 8y = 8


x2 + 2x + y2 + 8y = 8


x2 + 2x + y2 + 8y = 83

Answers

Answer:

[tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]

Step-by-step explanation:

Standard form for a circle is:

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]      (h, k) is the center    r is the radius

[tex](x - 1)^{2} + (y - 4)^{2} = 5^{2} \\x^{2} - 2x + 1 +y^{2} - 8y + 16 = 25\\x^{2} - 2x + y^{2} - 8y = 8[/tex][tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]

A customer buys a refrigerator for $650 and must pay a sales tax of 6% of the cost. What is the total cost of the refrigerator?
A)$108.33
B)$589
C)$679
D)$689

Answers

Answer:

A

Step-by-step explanation:

because he is rich

find the value of 2\5of rs75​

Answers

Step-by-step explanation:

Given

[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]

Hope it will help :)

Answer:

2÷5×75=30

Step-by-step explanation:

Find the area of the shaded region.

Answers

Answer:

B. x^2-10

Step-by-step explanation:

Your are trying to find the shaded region

You can see that the x by x square would be "full" if not for the 2 by 5 chunk that has been taken out of it

Therefore you can find the area by subtracting the 2 by 10 "chunk" out of the total area of the x by x square

Equation:

(x*x)-(2*5)

x^2-10

The answer is B

Complete the table.
f(y) = 4y2 - 4v
f(v
-4
-3
-2
-1

Answers

Answer:

f(y) = 4y2 - 4v

f(y) = 4y² - 4(-4) = 4y² + 16

f(y) = 4y² - 4(-3) = 4y² + 12

f(y) = 4y² - 4(-2) =4y² + 8

f(y) = 4y² - 4(-1) = 4y² + 4

Step-by-step explanation:

Dishwasher detergent is sold in individual packets. The 20 packet box sells for $5.49. The 60 packet box sells for $10.97. The 90 packet box sells for $18.95. Which is the best buy?

Answers

Answer:

60 packets

Step-by-step explanation:

Given that :

Unit cost of 20 packets

$5.49 / 20 =$0.2745

Unit cost of 60 packets :

$10.97 / 60 = $0.1828333

Unit cost of 90 packets :

$18.95 / 90 = $0.2105555

The 60 packets has the least cost per unit, hence it is the best buy.

PLEASE HELP ME, IM STRESSED OUT:(

Answers

Answer:D

Step-by-step explanation:

help please ill give brainliest

Answers

I think maybe 150 because when you add them all up you only get 620 so you would need 30 more so I just added 30 to 120 and got 150

Two sides of a right triangle measure 222 units and 444 units. What is the area of the square that shares a side with the third side of the triangle?

Answers

Answer:

the area of the square = x² = 147,852 ft²

Step-by-step explanation:

Given;

two sides of a right triangle, = 222 units and 444 units

let the third side of the right triangle that shares a side with a square = x

the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.

x² = 444² - 222²

x² = 147,852

x = √147,852

x = 384.52 ft

Therefore, the area of the square = x² = 147,852 ft²

Answer:

20 = x^2

Step-by-step explanation:

to find c^2 you need to do:

a^2 + b^2 = c^2

so- 2x2 + 4x4 = 4+16= 20

20 = x^2 and since x is squared you do not find the square root

Identify the inverse operation:r/4

Answers

Answer:

The inverse of this expression is the multiplication of 4. Answer: 4r, or 4 times r

Step-by-step explanation:

So first off, multiplication is the inverse of division, therefore, dividing r by 4 is the inverse of multiplying r by 4, so the answer is 4r.

Linear inequality systems graphically

Answers

To graph the solutions of a system of inequalities, graph each inequality and find the intersections of the two graphs.

Julio had 20 minutes to do a three-problem quiz. He spent 11 1 4 minutes on question A and 5 4 5 minutes on question B. How much time did he have left for question C?

Answers

Answer:

2 19/20 minutes

Step-by-step explanation:

Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?

The total number of minutes =

Number of minutes spent doing question (A + B + C)

Hence,

Hence, the number of minutes he had left for Question C is calculated as:

20 minutes - ( 11 1/4 + 5 4/5) minutes

20 minutes - ( 11 + 5 ( 1/4 + 4/5))

Lowest common denominator = 20

20 minutes - ( 16 + ( 5 + 16/20)

20 minutes - ( 16 + 21/20) minutes

20 minutes - (16 + 1 1/20) minutes

20 minutes - 17 1/20 minutes

= 2 19/20 minutes

Therefore he had 2 19/20 minutes left for Question C

what is this question called?

Answers

Answer:

It should be Ratio and Proportions .

Answer:

Step-by-step explanation:

a proportion.  Both ratios are the same thing. If you divide 15000 by 30 you get 500

If you divide 210 by 30, you get 7

It is always true that a proportion will have equal equal ratios on either side of the equal sign.

PLSS HELP ME ASAP!! WILL GIVE YOU BRAINLYEST!!!

Zhane spins a spinner 50 times and records the results of
each spin in a table. Based on the data, which of the
following could describe the spinner Zhane used?

A. The blue section is twice as large as the red section
B. The red section is smaller than the blue and green
sections combined
C. The green section is larger than the yellow section
D. The red and blue sections combined are larger than the
green and yellow sections combined.

Answers

Answer:

The answer is probably D since red and blue combined is 30 which is greater than green and yellow combined which is 20

Answer:

D

Step-by-step explanation:

The diagram shows quadrilateral MNPQ.

Quadrilateral M N P Q is shown. Sides N P and M Q are parallel. Angles P and Q are right angles. The length of M N is 10, the length of N P is 3, and the length of P Q is 6.

What is the length of line segment MQ?
8 units
10 units
11 units
15 units

Answers

Answer:

The answer is 11 units

Step-by-step explanation:

I just took the test, plus if you were to lay the side MN down to next to MQ, it would be similar but, a little be shorter. Also if you were to think of it, 8 units would be too short and 15 units would be too long, 10 units would of made MQ look the same length as MN, but MQ was longer just by a bit. Thus, makes 11 units the answer.

Hopes this helps!

For the given quadrilateral MNPQ, the length of MQ is 11 units.

Therefore, the option C is the correct answer.

Given that a quadrilateral MNPQ, with sides NP and MQ are parallel, ∠P = ∠Q = 90°, MN = 10, NP = 3 and PQ = 6.

We need to find the length of side MQ,

MQ = MR + RQ............(i) [segment addition property]

To find MR and RQ, we will have to do a construction in the figure given,

(Refer to the diagram attached)

Join the segment NR, that will be equal and parallel to PQ and perpendicular to MQ.

So, we get NPQR as a rectangle, according to the property of a rectangle its opposite sides are equal,

So, we get,

QR = 3 and NR = 6.

Also, we have a right triangle MNR, where MN is the hypotenuse,

Using the Pythagoras theorem, we can find the length of MR,

MR² = MN² - NR²

MR = √(10² - 6²)

MR = √(100 - 36)

MR = √64

MR = 8

Putting the values of MR and QR in equation (i), we get,

MQ = MR + RQ

MQ = 8 + 3

MQ = 11

Hence the length of MQ is 11 units.

Learn more about Geometry click;

https://brainly.com/question/31408211

#SPJ2

Help? cant seem to figure this out. Appreciate it!

Answers

Answer:

327 cm²

Step-by-step explanation:

The opposite faces of a cuboid are congruent , front and back, top and bottom, the two side faces, then

SA = 2(9.5 × 8) + 2(5 × 8) + 2(9.5 × 5)

     = (2 ×76) + (2 × 40) + (2 × 47.5)

     = 152 + 80 + 95

     = 327 cm²

Answer:

Step-by-step explanation:

SA = 2B + LA         B = area of base        LA = lateral area

B = area of the rectangle with length of 9.5 and width of 5

  = 9.5(5) = 47.5

LA = perimeter of base times the height

    = [2(9.5) + 2(5)] (8)

    = (19 + 10)(8)

    = 29(8)

    = 232

SA = SA = 2B + LA  = 2(47.5) + 232

     = 95 + 232

     = 327 sq cm

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