Question

The graph of the parent function y = xº is horizontally stretched by a factor of 5 and reflected over the y-axis. What is

the equation of the transformed function?
y= (5x)³
y = (-5x)³
Y=[1/5x]³
y=[-1/5x]³

Answer 1

The transformed function after a horizontal stretch by a factor of 5 and reflection over the y-axis is y = (-5x)^3.

Step-by-step explanation:

The student has described two transformations of the parent function y = x3. Firstly, there is a horizontal stretch by a factor of 5. Secondly, the function is reflected over the y-axis. To perform a horizontal stretch by a factor of 5, we would normally replace x with (x/5), however, since the function is also reflected over the y-axis, we replace x with -x. Combining these transformations gives us the new function y = (-5x)3.