Question

Giselle graphs the function f(x) = x2. Robin graphs the function g(x) = –x2. How does Robin’s graph relate to Giselle’s?

Robin’s graph is a reflection of Giselle’s graph over the x-axis.
Robin’s graph is a reflection of Giselle’s graph over the y-axis.
Robin’s graph is a translation of Giselle’s graph 1 unit down.
Robin’s graph is a translation of Giselle’s graph 1 unit left.

Answer 1

Robin’s graph is a reflection of Giselle’s graph over the x-axis.

Explanation: g(x) = -x^2 = -f(x), so every point (x, y) on f becomes (x, -y) on g, which is a reflection across the x-axis.