Determine the equation for the parabola that satisfies the following conditions:

Question

Graph of y=x^2 is: (i) stretched vertically by a factor of 2, (ii) reflected about the x-axis, (iii) Translated left 4 units, (iv) Translated up 3 units.

What is the new equation?

Answer 1

(i) f(x) = 2x²

(ii) f(x) = -x²

(iii) f(x) = (x + 4)²

(iv) f(x) = x² + 3