Question

Given f(x)= 3(x+ 4)^2– 4 Identify the transformations to the quadratic function compared to the parent function f(x)=x^2First is horizontal shift, second is reflect, third is width, fourth is vertical shift

Answer 1

f(x) = x²

(x+4)² translates f(x) 4 units to the left

3x² horizontally compresses f(x), because 3 is greater than 1.

Since the function is not multiplied by -1, it is not reflected over the x-axis

x² - 4 translates f(x) 4 units down

The final answer is:

Shifted left 4, No reflection, More narrow than the parent function, Shifted down 4.