Question
Asked Dec 7, 2019
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Find the function that is finally graphed after the following transformations are applied to the graph of y = Vx in the order listed.
%3D
(1) Reflect about the x - axis
(2) Shift up 3 units
(3) Shift right 7 units
y =
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Find the function that is finally graphed after the following transformations are applied to the graph of y = Vx in the order listed. %3D (1) Reflect about the x - axis (2) Shift up 3 units (3) Shift right 7 units y =

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Expert Answer

Step 1

Given,

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y = Vx

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Step 2

Part 1

Reflect about the x-axis.

We know that, reflection of f(x) about x-axis is -f(x).

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Vx about the x-axis is y = -Vx . So, reflection of y We can also see from the graph. y = x^(1/2) 2- 10 -2 y =- x^(1/2). 4. 2.

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Step 3

Part 2

Shift 3 units up:

We know that, shifting...

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So, shifting 3 units up in y = Vx is y = Vx + 3. As shown in the graph. y= x^(1/2) + 3 -4. y = x^(1/2) 2- 10 4.

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