Question

The parent function f(x) = x2 is reflected across the x-axis, vertically stretched by a factor of 5, and translated 3 units down to create g. Identity g in vertex form.

Answer 1

The vertex form is

Explanation:

Given : The parent function

To reflect across the x-axis,

f(x) → - f(x)

Vertically stretched by a factor of 4,

f(x) → a f(x)

Translated 5 units upward,

f(x) → f(x)+k

The required function is

The general vertex form is

Here, a=-4, h=0 and k=5