Question

f(x) = x^3

y1 = -x^3 + 4
b) Graph the function obtained from f by first translating up 4 units, then reflecting about the x-axis. Write a formula for the resulting function, y2.

y2 = ? i tried x^3-4. my value wasn't correct

Answer 1

shift first by 4:

x^3+4

then reflect:

-(x^3+4) = -x^3-4

-x^3+4 is what you get when you reflect, then shift