Question

Which equation describes how the parent function y=x^3, is vertically streched by a factor of 4

Answer 1

`y=4x^(3)`

Explanation:

We know that,

'Vertical stretch means that the function stretches up and down towards the y-axis'.

i.e. The general form of vertical stretch is given by 'kf(x)', where k>1 is the factor by which function is stretched.

So, the given function,
`y=x^(3)` is stretched by a factor of 4.

So, the new function formed will be
`y=4x^(3)`.

Hence, the equation describing the vertical stretch is
`y=4x^(3)`.