Question

The graph of the parent function y = x3rd power is horizontally stretched by a factor of 1/5 and reflected over the y-axis. What is the
equation of the transformed function?
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O y=(5x)3
Oy=(-5x)3
Oy=(1/5x)3
Oy=(-1/5x)3

Answer 1

• y=x³

Horizontally streched means change in x

So

New equation

• y=kx³

k is factor

• y=1/5x³

We know the rule for reflection (x,y)=(x,-y)

So

New function

• -y=1/5x³
• y=-1/5x³

Option D

Answer 2

Step-by-step explanation:

The graph of y = √x is reflected in the y-axis, is horizontally stretched by a factor of 2, shifted 3 units up and 1 unit left. What is the equation of the transformed graph?

Original: y = √(x)

Reflected in the y-axis: y = √(-x)

Horizontally stretched by a factor of 2: y = √(-x/2)

Shifted 3 units up: y = 3 + √(-x/2)

And 1 unit left: y = 3 + √(-(x+1)/2)