parabolas

Question

describe the transformations that were done to the parent function F(x)=X^2 to create g(x)=-2(x-6)^2 +5.

Answer 1

f(x) = x^2

g(x) = -2(x-6)^2 +5

1) -2 : reflection over x-axis and vertical stretch by factor of 2

2) -6 : shift f(x) by 6 units to the right.

3) +5: shift f(x) by 5 units upwards.