MATHEMATICS HIGH SCHOOL

the function g(x) is a transformation of the quadratic parent function, f(x) = x^2. What function is g(x)

Answers

Answer 1

Answer:

Answer:

Option (C)

Step-by-step explanation:

Quadratic parent function has been given as,

f(x) = x²

If we reflect this function across the x-axis and vertically stretched by a scale factor of 'k',

g(x) = -kx²

This quadratic function passes through a point (1, -4),

g(1) = -k(1)²

-4 = -k

k = 4

Therefore, the new function after transformation will be,

g(x) = -4x²

Option (C) will be the correct option.

Answer 2

Answer:

The function g(x) is $\rm g(x) = -4x^2\n$ .

Given that,

The function g(x) is a transformation of the quadratic parent function,

$\rm f(x) = x^2$

We have to determine,

What function is g(x)?

According to the question,

The function f(x) is a transformation of the quadratic parent function,

$\rm f(x) = x^2$

In the given figure the function g(x) reflect across the x-axis and is vertically stretched by a scale factor of 'k',

Then, The function g(x) is,

$\rm g(x) = -kx^2$

Therefore,

The quadratic equation passes through the point (1,4),

$\rm g(x) = -kx^2\n\ng(1) = -k(1)^2\n\n-4 = -k\n\nk= 4$

Therefore,

The function g(x) is,

$\rm g(x) = -kx^2\n\ng(x) = -4x^2$

Hence, The required function g(x) is $\rm g(x) = -4x^2\n$ .

For more details refer to the link given below.

brainly.com/question/411998

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Let set C = {1, 2, 3, 4, 5, 6, 7, 8} and set D = {2, 4, 6, 8}.Which notation shows the relationship between set C and set D?

A: C ∪ D
B: C ∩ D
C: D ⊆ C
D: C ⊆ D

Answers

1. If it is intersection then it SHOULD be included in both the sets right? Now we know that odd numbers from 1-100 but the second set are multiples of 5 from 50-150! So we mainly need to look for common numbers which are ODD and are a MULTIPLE OF 5 BETWEEN 50 - 100!! So A={51,53,57,59,61......99} B={55,60,65,70.......95} [We stop till 100 because set A has no such element] So what is A ∩ B here? A ∩ B = {All odd numbers and multiples of 5 between 50 - 100}

Pleaseeee help me with question 14, 16 and 20.

Answers

im sorry i really need an answer to this and my only way is to answer one of these again I’m so sorry i hope someone else can help

Alon and his friend Marna own a chimney sweep service company. Working together, they can clean a 20-foot chimney in 1 Five-sevenths hours. If it takes Kalon 4 hours to clean a 20-foot chimney by himself, how long does it take Marna to clean the same size chimney by herself?

Answers

Answer:

3 hours

Step-by-step explanation:

Given that:

Time taken by Kalon = 4 hours

Time taken by Marna =?

Time taken if the work together = 1 5/7 hours

Kalon's rate = 1/ time =. 1/4

Kalon + Marna = 1 ÷ 1 5/7 = 7/12

Hence,

Marna's rate = 7/12 - 1/4

Marna's Rate = (7 - 3) / 12 = 4/12 = 1/3

Marna's rate = 1/3

Hence, time it takes Marna = reciprocal of rate = 1÷ 1/3 = 1 * 3/1 = 3 hours

Answer:

3 hours

Step-by-step explanation:

For every 10 yards on a football field, there is a boldly marked line labeled with the amount of yards. Each of those lines is perpendicular to both sidelines. What can be said about the relationship of the sidelines? Justify your answer. a. The sidelines are perpendicular to each other by the definition of the Transitive Property.

b. The sidelines are parallel by the Same-Side Interior Angles Theorem.

c. The sidelines are perpendicular by the Perpendicular Transversal Theorem

d. The sidelines are parallel because they are perpendicular to the same line.

Answers

The true statement about the sidelines would be that they are parallel because they are both perpendicular to each of the boldly marked line.

If the sidelines are perpendicular, then the boldly marked lines, then the boldly marked lines cannot be perpendicular to both sidelines

The fact that all the boldly marked lines forms a perpendicular line with both sidelines, then it is a must that both sidelines are perpendicular.

Therefore, since the sidelines are perpendicular to the same set of lines, then the sidelines would be parallel.

Learn more : brainly.com/question/12168715?referrer=searchResults

The sidelines are parallel to one another, because
they are perpendicular to the same line.

A moving company had one seven of a ton of a weight to move across town. If they wanted to split it equally amongst 8 trip,how much weight they have on each trip?

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so 1/7 divided by 8

equals to 1/ 56 tons per trip

PLEASE HELP ASAPP!! ALGEBRA

Answers

Answer:

x > -10

Step-by-step explanation:

10 - 6x < 70

-6x < 70 - 10

-6x < 60

-6/-6 x > 60/-6

x > - 10

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