quadratic function

Question

the parent function f(x) =x² is vertically compressed by a factor of 1/2 and translated 11 units left and 5 units down

Answer 1

The answer is (1/2)x²(x+11)-5.

This is because compression involves multiplying the x² factor, x-shifts involve adding (for left shifts) or subtracting (for right shifts) the number, and y-shifts involve adding or subtracting the number depending on the shift directions. Unlike the x-shift, the shift direction matches the operation used.

I hope this helps!