Mathematics, 07.02.2021 04:40 dmead22284

Describe how to obtain the graph of g from the graph of f(x) = $\sqrt{x}$

Describe how to obtain the graph of g from the graph of f(x) =

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Answer from: jpruitt10

Problem 7

Consider the general template

g(x) = a*sqrt(x-h) + k

and compare it to the general parent function

f(x) = sqrt(x)

We have the following variables: a, h and k

They are defined as such:

a = handles the vertical stretch and if any reflections occur. If a > 0, then the curve goes upward; if a < 0, then the curve goes downward. Going from positive to negative, or vice versa, is a reflection over the x axis.h = handles the left and right shift. If h > 0, then you shift right. If h < 0, then you shift left.k = handles the up and down shifting. If k > 0, then you shift up. If k < 0, then you shift down.

For this problem, we have

a = 1h = -4k = 3

Since g(x) = sqrt(x+4)+3 is the same as g(x) = 1*sqrt(x - (-4)) + 3

With a = 1, we know that the curve moves upward. Compared to the parent graph y = sqrt(x), which also goes upward, no reflection has been done over the x axis.

The h = -4 means we shift 4 units to the left

The k = 3 means we shift 3 units up

Shift the parent function 4 units to the left and 3 units up

Problem 8

We'll use the ideas mentioned in problem 7. They'll also be used for problems 9 and 10 as well.

For problem 8, we have

a = 1h = -4 = shift 4 units to the leftk = -2 = shift 2 units down Shift the parent function 4 units to the left and 2 units down.

Problem 9

This time we have

a = 1h = 4k = -3 Shift the parent function 4 units to the right and 3 units down

Problem 10

So far, all of the 'a' values have been positive 1. This means that there hasn't been any reflection or vertical stretching going on.

This time we have a = -1 instead of a = 1.

So we will reflect over the x axis along with the shiftings similar to the ones that occurred with the previous problems.

Reflect the parent function over the x axis, shift 4 units to the right, and shift 2 units up

Answer from: Quest

answer: ouch. thats difficult

step-by-step explanation:

Answer from: Quest

50- 250 is correct i did that one too

step-by-step explanation:

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Describe how to obtain the graph of g from the graph of f(x) =

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