Question

Use transformation and the zeros of the quadratic function f(x) = (x+4)(x-2) to determine the zeros of each of the following functions.

Answer 1

a) y=3f(x) and c) y=f(2x)

Answer 2

(a) 3f(x) means 3(x+4)(x -2)

to find the zeros its just a case of solving

3(x+4)(x-2)=0

then you solve the smaller equations

x + 4 = 0 and x - 2 = 0


(b) for the transformation replace x with 2x

then f(2x) = (2x + 4)(2x -2)

so y = (2x +4)(2x -2)

for the zeros then solve

(2x +4)(2x -2) = 0


solve the lesser equations

2x + 4 = 0 and 2x -2 = 0

Answer 3

ohhh. thank you!