Explain how you could graph each function by applying transformations.

(a)

(b)

(c)

Lewis Harvey
2020-12-12
Answered

Explain how you could graph each function by applying transformations.

(a)

(b)

(c)

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wheezym

Answered 2020-12-13
Author has **103** answers

(a)

Consider the given function

To find the transformation of the graph of the given function

First, draw the graph of the following function

Now, take horizontal shift right 2 units of the above

So,

Again, take vertical shift up by 7 units of the above

So,

Hence, above are the required transformations.

(b)

Consider the given function

To find the transformation of the graph of the given function

Hence, the required transformations for the graph of the given function are reflection and dilation.

(c)

Consider the given function

To find the transformation of the graph of the given function

Hence, the required transformations for the graph of the given function are dilation by scaling factor 3 units, reflection about the y-axis, and vertical shift down 5 units

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I have summarized the question below:

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I have summarized the question below:

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I am guessing that I have to use the distance formula, which is $d=\sqrt{({x}_{2}-{x}_{1}{)}^{2}+({y}_{2}-{y}_{1}{)}^{2}}$.

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and

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and

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