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

Select the correct answer from each drop-down menu.
What is the distance and midpoint between points D and E on the number line?

Invention of the distance options
6.2, 2.6, 4.2, 0.6

Midpoint options 0.6, 0.3, 1.2, and 0.1

Answers

Answer:

4.2

0.6

Step-by-step explanation:

The distance and midpoint between points D and E on the number line 4.2 and 0.6

What does a midpoint mean?

Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.

We need to find the distance and midpoint between points D and E on the number line.

Invention of the distance options; 6.2, 2.6, 4.2, 0.6

Midpoint options 0.6, 0.3, 1.2, and 0.1

Here the distance between points D and E on the number line

= 4.2

Thus, the midpoint between points D and E on the number line = 0.6

Hence, the distance and midpoint between points D and E on the number line 4.2 and 0.6

Learn more about midpoint here;

https://brainly.com/question/5127660

#SPJ2

If I type 800 words in 16 minutes,
how many words do I type per minute

Answers

Answer:

50 per minute

Step-by-step explanation:

Answer:

The answer is 50 words per minute

Step-by-step explanation:

16x50=800

800/16=50

HOPE THIS HELPS!!

if i make 6000 dollars per 5.6 hours how much will I make in total in 24 hours

Answers

Answer:

About $25,714.29

Step-by-step explanation:

Divide 6000 by 5.6 to get dollar per hour rate:

6000/5.6 = 1071.43 dollars per hour

Multiply by 24:

1071.42857 * 24 = 25714.29 dollars

About $25,714.29

solve for x

3x/6 + 1 = 7

Answers

Subtract one from each side and then multiply -6 to each side and then divide by 3 and the answer is x=-12

radius of a circle with 11,304 circuference

Answers

Answer:

1799.08748

Rounded version: 1799

Step-by-step explanation:

Report me if its wrong mark me Brianliest if its right.

Quadrilateral ABCD is rotated 90 dockwise and the result is quadrilateral PQRS.
Which of the following sides on Quadrilateral PQRS is congruent to side AB on Quadrilateral ABCD-
А side PQ
B
side QR
С
side RS
D
side SP

Answers

Side RS is congruent to side AB

Solve the conjunctions below.

2 < x/3 - 5 < 6

3 < 2(x + 2) - 7 ≤ 13

Answers

Answer:

top: 21 < x < 33

bottom: 3 < x ≤ 8

Step-by-step explanation:

HELP *picture inserted*

Answers


The answer is b……..

a woman is 16 weeks pregnant with her first baby. she asks how long it will be before she feels the baby move

Answers

Answer:It will take about 1 month or 2 months for the baby to start movingStep-by-step explanation:

It will take about 1 month or 2 months for the baby to start moving since a pregnancy takes 9 months so the most logical thing is that the baby starts to move between 1 month or 2 months

What are the integer solutions to the inequality below?

[tex]10 \leq 2x \leq x+7[/tex]

Answers

Here's ur perfect answer

I will give brainliest if applicable

The Boeing 747-8 Intercontinental Jet can carry approximately 422,000 gallons of gasoline, making it possible for the jet to travel 14,430 kilometers before needing to refuel.

CREATE A LINEAR MODEL that represents the amount of gasoline on the plane, in gallons, as a function of the flight time, in hours. Show all of your work.

Answers

Answer:

The average is exactly 26,375 gallons of gas per hour.

How I found this is buy subtracting each numbers like 422,000 - 369,250 = 52,750. 369,250 - 316,500 = 52, 750 and so on. They all ended up being 52,750, but then I realized that they are all 2 hours apart and the question asks of gallons of gas per 1 hour so then I divided 52,750 in half and got my final answer, 26,375.

Step-by-step explanation:

This is how much gas the jet uses per 1 hour

my question doesn't ask me to create a linear model but it asks for gasoline per hour, and it's just like this question with the same graph so if you have the same as me this is the answer.

37.4786 rounded to nearest hundredth

Answers

Answer:37.48

Step-by-step explanation:

The equation of line l is y=2/3x+5. The equation of line m is y=3/2x−1. What is the relationship between the two lines?

Answers

Answer:

If there is not a typo and you aren't missing a minus sign on the slopes, l and m are simmetrical relative to the line [tex]y=x+\frac{13}5[/tex]

If there is a typo nad one of the slopes is negative, they're perpendicular.

Step-by-step explanation:

The product of the slope is 1 -unless you forgot a minus sign somewhere.

In general, two lines of the form [tex]y=kx ; y= \frac1k x[/tex] are simmetrical relative to [tex]y=x[/tex]. Alas, the intercepts are different, but it's easy to spot by drawing them that they would be simmetrical to the parallel to [tex]y=x[/tex] passing through their intersection, by translation. Let's find that point

[tex]\frac23x +5 = \frac32x-1\\4x+30 =9x-6 \rightarrow 5x=36 \rightarrow x= \frac{36}5\\y=\frac 23(\frac{36}5)+5 = \frac{24}5 + \frac{25}5 = \frac{49}5[/tex] Their simmetry line - which is also their angular bisector! - is [tex]y=x+\frac{13}5[/tex]

b
– 2 =
7
8

Write your answer as a fraction or as a whole or mixed number.

b =

Answers

Answer:80

Step-by-step explanation:

i need serious answers ppl keep putting those links

Answers

Answer:

Roman

Step-by-step explanation:

An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.

Best of Luck!

27 x 9^3x can be written in the form 3^k where k is an expression in terms of x. Find k

Answers

Answer:

27 x 9^3x = 3^3 x 9^3x = 3^3 x (3^3)^3x = 3^3 x 3^9x = 3 ^3+9x

3^3+9x = 3k

ln(3^3+9x) = ln(3^k)

3+9x(ln3)=k(ln(3))

k= 3(1+3x)/ln(3)

Step-by-step explanation:

ln(x^n) = n(ln(x))

I need an emergency help plssssss! :(

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

[tex]\\ \sf\longmapsto \sqrt{X^{a-b}}\times \sqrt{X^{b-c}}\times \sqrt{X^{c-a}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}}\times X^{\frac{b-c}{2}}\times X^{\frac{c-a}{2}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}+\frac{b-c}{2}+\frac{c-a}{2}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{a-b+b-c+c-a}{2}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{a-a+b-b+c-c}{2}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{0}{2}}[/tex]

[tex]\\ \sf\longmapsto X^0[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

the product of 32.7 and 0.9 is? ​

Answers

Answer:

pruduct means multiply so 32.7x0.9=29.43

Find the value of h and k.

Answers

Answer:

  h = 6, k = 6.5

Step-by-step explanation:

The segment marked h is half the length of the one marked 3h-6.

  2h = 3h -6

  6 = h . . . . . . . add 6-2h

__

The segment marked k is half the length of the one marked 2h+1.

  2k = 2(6) +1

  k = 13/2 = 6.5 . . . . divide by 2

The values of h and k are 6 and 6.5, respectively.

Confused help please

Answers

Answer:

130

Step-by-step explanation:

1 and 2 form a straight line, so they are supplementary. That means they add up to 180. So,

a1+a2=180

50+a2=180

a2=130

Answer:

it would be B.130

Step-by-step explanation:

considering an angle can only go to 180* subtract 50 from 180 and you get 130

Opps, forget to add picture. 6 minutes left. Pls help, thank you!

Answers

Answer:

I don't know sorry please forgive me

Answer:

D

Step-by-step explanation:

mean is 11.25 and midian is 10.50

Two cubes are of sides 6 inches and 8 inches respectively. Find the ratio of (a) their sides, (b) their areas on one face, (c) their volumes.​

Answers

Answer:

a. the ratio of the sides is 6: 8, or 3:4

b. the ratio of the surfaces is [tex]\frac{6\times 6}{8\times8}[/tex] or 9:16, the square of the ratio of the sides.

c. the ratio of the volumes is [tex]\frac{6\times6\times6}{8\times8\times8}[/tex] or 27:64, the cube of the ratio of the sides.

please help me there are 3 more questions please

Answers

Answer:

Question 1: C) <5

Question 2: B) 139

Step-by-step explanation:

Question 1: They are looking for an angle with the same degrees as angle 4. There are for angles that have that, 1,4,5,8. When looking for the answer there is only one answer that fits in with those numbers, and that is answer C) <5.

Question 2: They provide us with the first angle of 139 degrees. Angle N corresponds with the first angle. Therefore angle N must be the same as the first angle, equaling 139 degrees.

How to subtract? how can we minus 7 from 2 how can we maintain sign​

Answers

Answer:

a² - b² = (a+b)(a-b)

Step-by-step explanation:

= 2x² - 7x²

=(2x + 7x)(2x - 7x)

Answer:

-5x²

Step-by-step explanation:

combine like terms in 2x²-7x²

Davina received 50 votes, Binh received 40 votes. What is the ratio of Binh's votes to Davina's votes in simples form?

Answers

Answer:

The answer is 4 hope this helps

Pls answer this 100 points if so

Answers

The answer is: F
To your question

Answer:

(f) can you plz mark brainiest

Step-by-step explanation:

I’m working on 3 and 4 only maybe if I can have some explanation so I can understand and do more of these next week.

Answers

4.b.

Answer:  See below.

Step-by-step explanation:

For the equation f(x) = 2x

3.a.  f(6) means use x = 6 in the equation f(x) = 2x

so f(6) would be f(6)= 2(6)

f(6) = 12

3.b.  f(-11) = 2(-11)

f(-11) = -22

3.c.  f(2.75) = 2(2.75)

f(2.75) = 5.5

3.d.  This is turned around.  We are told f(x)=20, so what would x need to be for f(x) to be 20?  Since f(x) = 2x, we can say 20 = 2x.  Therefore x = 10

f(10) = 20

The rest of (3) are solved in the same fasion.h

For the equation  f(x)= 5x+50

4.a.  f(7) = 5(7)+50

f(7) = 85

4.b. f(-12)

  f(-12) = 5*(-12)+50

f(-12) = -60

Continue in the same fashion for these types of problems.

$299 for 4 tires. What is the cost for one tire? Round your answer to the nearest whole number..
$70 per tire
$75 per tire
$72 per tire

Answers

$75

$299/4 = 74.75. Rounded to the nearest whole number would be $75. :)

4 1/4-2 3/5 what is this

Answers

Answer: 1.9, 1 1/9 or 19/10

joe mammamamamamamaamamamma

Answers

Answer:

this joke is getting old lol

Step-by-step explanation:

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