Warm Up Solutions

Describe the transformation of a parabola in the form $y = a {(x - h)}^{2} + k$ from the quadratic parent graph $y = x^{2}$ .

The parabola shifts right 2 spaces and down 3 spaces. $(h = - 4, k = 8)$

The parabola reflects over the x-axis $(a = - 1)$ . The graph moves left 4 spaces and up 8 spaces. $(h = - 4, k = 8)$

Note

Find more about transformations of parabolas in Algebra 1: Principles of Secondary Mathematics.