I need help with a quadratic parent function.

Question

what would the answer be if i were to shift the quadratic parent function f(x)=x^2 1 unit right, vertically stretch it by a factor of 3, and then reflect it over the x-axis?

Answer 1

Shift one unit to the right gives you (x - 1)^2, vertical stretch results in 3( x - 1)^2, and to reflect it over the x-axis, multiply by minus, so the result is: -3(x-1)^2