How does the graph of g(x) = [tex](x+12)^{2}[/tex] relate to the graph of f(x) = [tex]x^{2}[/tex]

Answers

Answer 1

Answer:

Horizontal translation of the parent graph

Step-by-step explanation:

Definitions:

In the vertex form of a quadratic function, f(x) = a(x - h)² + k, where:

(h, k) = vertex of the grapha  = determines the width and direction of the graph's opening.

A horizonal translation to the parent graph is given by, y = f(x - h), where:

h > 0 ⇒ Horizontal translation of h units to the righth < 0 ⇒ Horizontal translation of |h | units to the left

In the graph of g(x) = (x + 12)², the vertex occurs at point (-12, 0).

While the vertex of the parent graph, f(x) = x² occurs at point, (0, 0).

Answers:

Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (h, k ) into the vertex form will result into:

g(x) = a(x - h)² + k

g(x) = [x - (-12)]² + 0

g(x) = (x + 12)² + 0

g(x) = (x + 12

Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is horizontally translated 12 units to the left.  


Related Questions

What is the greatest common factor of 18, 6, and 36?

Answers

Answer:

18 is the greatest common factor between those

Answer:

There are 6 common factors of 18 and 36, that are 1, 2, 3, 6, 9, and 18. Therefore, the greatest common factor of 18 and 36 is 18.

Step-by-step explanation:

Which constant term would mean that the expression is completely factored?.

Answers

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

took the test

do the write a relation as a set of five ordered pairs then express the relation using a:

table




mapping diagram




graph​

Answers

Answer:

Step-by-step explanation:

Table

x I y-------1  I  22  I  43  I  64  I  85  I  10

thank you guys for helping me :) :)

Answers

Answer:

The second one is right

Step-by-step explanation:

Hope it helpssss

Find an equation for this line?

Answers

Answer:

y = -20/5 or -4/1 + 20 for the equation

4 Anna plays a computer game for
of an hour each evening. How many
hours does she spend playing computer
games in a week? In 8 weeks? Draw a
model or write equations to show your
work.

Answers

Answer: 7, 56

Step-by-step explanation:

The answer to the first question is 7 because since there are 7 days in a week, and she plays for an hour each evening, 1 times 7 is 7. If she plays for 8 weeks, she would play for 56 hours because 7 times 8 is 56.

I will give 20 points

Answers

Answer:

This is like quadratic equation you just say y=1x+-2 and then you get the answer

Write each equation in STANDARD FORM. y=-2/3x+3

Answers

[tex]\huge\underline\mathtt\colorbox{cyan}{2/3x+y+3=0}[/tex]

The Picture is attached below

Answers

Answer:

Step-by-step explanation:

Issac ate 2/4 of a pizza. Madison ate 1/5 how much did issac eat more than Madison?​

Answers

Answer:

6/20. (simplified is 3/10)

Step-by-step explanation:

Which of the following is equal to this expression? (254 * 64) 1/4

Answers

Answer:

4064

Step-by-step explanation:

254*64=16256*1/4=4064

Can someone please help me

Answers

Answer:

D. Step 3 and Step 4

Step-by-step explanation:

I tried to put in some numbers for x and I'm pretty sure that you can subtract stuff from both sides but you can't divide. I'm 70% sure, so tell me if something's wrong :)

gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least four times the area used for
flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all
values of x and y that satisfy these requirements.

Answers

Step-by-step explanation:

According to the given we have following inequalities:

x + y ≤ 220y ≥ 4x

See the graph attached below.

Solution region is within the triangle with marked vertices.

look at photo that is added

Answers

The slope intercept form using the two points would be : y= 2x-13

6=2(y+2) solve for what is y?

Answers

Answer:

y is 1

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

First divide both sides by 2

this gives you 3 = y+2

then subtract 2 from each side giving you y = 1

The number of packages of ribbon varies directly to the total amount of ribbon in feet. At a packaging plant 12 packages of ribbon will contain 900 feet of ribbon. If 4 packages of ribbon on ordered, how many feet of ribbon will there be?

Answers

Answer:

300 feet

Step-by-step explanation:

Direct variation equation:

y = kx, where k is the coefficient of variation

We have y = 900, when x = 12, find the value of k:

900 = 12kk = 900/12k = 75

The equation is:

y = 75x

Now, find the value of y, when x = 4:

y = 75*4 = 300

Mairead jogs 2,700 feet, while Paula jogs 0.5 mile. Who jogs farther, and by how many feet?

Please help, I have to be done with this in 2 days so if anybody could help it would be very nice.​

Answers

Answer:

Paula jogs more by 0.1113636 miles or 600 feet.

Step-by-step explanation:

formula for feet to miles; 5280 / f.

2700 / 5280 = 0.5113636363636

0.113636363636 x 5280 = 600 feet.

Solve.

x−(−256)=−15

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.

x =

Answers

Step-by-step explanation:

[tex]x - ( - 256) = - 15 \\x + 256 = - 15 \\ x = - 15 - 256 \\ x = - 271[/tex]

Find a number such that 20 less than twice the number is 50.

Answers

140 because 70 (the half) minus 20 is 50

The required simplified solution of the given expression is 35.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Let the number x,
A number such that 20 is less than twice the number is 50.
2x - 20 = 50
2x = 70
x = 35

Thus, the required simplified solution of the given expression is 35.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5

need help with pre-cal please

Answers

Answer:

x = n² ± n√(n² + 8)

Step-by-step explanation:

x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)

Any one know the answer for this question??????

Answers

Answer:

C) y > 0

Step-by-step explanation:

I graphed it

Multiply.

[−8⋅4/11]⋅[(−0.1)⋅22]

Answers

Answer:

6.4

Step-by-step explanation:

Hope this helps :D

Hehehjsbusbsysbsusniwnwiwkwiwn

Round 2,861 to the nearest hundred

Answers

2,900

hope this helps

Hey there!

2,891

= 200,000 + 800 + 90 + 01

= two-hundred thousand, eight hundred ninety one

Thousand:

2,000

Hundred:

900

Tens:

90

Ones:

1

Based on that information we can answer your question

SIMPLIFY IT

ANSWER: 2,900

[2,000 + 900 + 0 + 0]

[two thousand + nine hundred]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Solve for X

6-6x=6x-8x+14

Answers

Answer is x=-2
Explanation:
6-6x=-2x+14
-6x+2x=14-6
-4x=8
x=-2


By which numbers (4,6,8 or 9) are the following numbers divisible?
(a) 3 786
(b) 4 136
(c) 15 342
(d) 87 312
(e) 85 572
(f) 1234 567

Answers

Answer:

option a as last digit even a d come in 3 table

hello.. kindly help me. i'm a bit confused because the answer is negative..see the attached picture : D​

Answers

Step-by-step explanation:

When you get negative it is ok.

It means you have a discount here, not really increase but decrease in price.

Here you have:

(1680 - 4200)/4200*100% = - 60%

It is called 60% mark down or 60% discount

There were 6 teams in a baseball tournament. Each team played against every other team exactly once during the tournament. A team earned 2 points for a win, 1 point for a tie, and 0 points for a loss. What was the total number of points earned by all 6 teams in the tournament?

Answers

Since there were 6 teams in a baseball tournament, and each team played against every other team exactly once during the tournament, and a team earned 2 points for a win, 1 point for a tie, and 0 points for a loss, to determine what was the total number of points earned by all 6 teams in the tournament, since a series of results have not been raised, the following table should be made:

Possible outcomes: 5 wins = 5 x 2 = 10 4 wins and 1 a draw = 4 x 2 + 1 = 9 4 wins and 1 loss = 4 x 2 = 8 3 wins and 2 draws = 3 x 2 + 2 x 1 = 8 3 wins, 1 draw and 1 loss = 3 x 2 + 1 = 7 3 wins and 2 losses = 3 x 2 = 6 2 wins and 3 draws = 2 x 2 + 3 x 1 = 7 2 wins, 2 draws and 1 loss = 2 x 2 + 2 x 1 = 6 2 wins, 1 draw and 2 losses = 2 x 2 + 1 = 5 2 wins and 3 losses = 2 x 2 = 4 1 win and 4 draws = 2 x 1 + 4 x 1 = 6 1 win, 3 draws and 1 loss = 2 x 1 + 3 x 1 = 5 1 win, 2 draws and 2 losses = 2 x 1 + 2 x 1 = 4 1 win, 1 draw and 3 losses = 2 x 1 + 1 x 1 = 3 1 win and 4 losses = 2 x 1 = 2 5 draws = 5 x 1 = 5 4 draws and 1 loss = 4 x 1 = 4 3 draws and 2 losses = 3 x 1 = 3 2 draws and 3 losses = 2 x 1 = 2 1 draw and 4 loss = 4 x 1 = 1 5 losses = 0

Learn more in https://brainly.com/question/6283215

The pie chart shows information about the voters in an election 2800 more women voted than men work out the total number of voters

Answers

The angle subtended by the women voters are 100° more than the angle subtended by the men voters.

The total number of voters are 10080 voters

Reasons:

The angle subtended by the men on the pie chart = 130°

The number of women = 2800 + The number of men

Therefore;

Angle subtended by the women voters on the pie chart = 360° - 130° = 230°

The difference between the angle representing women and the angle

representing men = 230° - 130° = 100°

Therefore;

100° = 2800

Which by common ratios gives;

[tex]\dfrac{100^{\circ}}{360^{\circ}} = \dfrac{2800}{Total \ number \ of \ voters }[/tex]

100 × Total number of voters = 2800 × 360

[tex]The \ total \ number \ of \ voters = \dfrac{2800 \times 360}{100} = 10080[/tex]

The total number of voters = 10080

Learn more here:

https://brainly.com/question/20431949

Answer:

The angle subtended by the women voters are 100° more than the angle subtended by the men voters.

The total number of voters are 10080 voters

Reasons:

The angle subtended by the men on the pie chart = 130°

The number of women = 2800 + The number of men

Therefore;

Angle subtended by the women voters on the pie chart = 360° - 130° = 230°

The difference between the angle representing women and the angle

representing men = 230° - 130° = 100°

Therefore;

100° = 2800

Which by common ratios gives;

100 × Total number of voters = 2800 × 360

The total number of voters = 10080

Simplify this expression 3(2h + 5)

Answers

6h+15
Explaination: cause I’m a genius
The answer is 6h + 15

Explanation: use the distributive property.
3 x 2h = 6h
3 x 5 = 15

−5 + 6 × 5/2 + 56 ÷ ( −8 )

Answers

Answer:

3

Step-by-step explanation:

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