59
RCMultiple Choice

Unit Summary — Cumulative exam

Question 59 • Career Explorations - EL3401

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

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

Explanation

For every input x, Robin’s function g(x) = −x² gives the opposite of Giselle’s output f(x) = x². Changing the sign of all y-values reflects a graph across the x-axis, so Robin’s graph is a reflection of Giselle’s graph over the x-axis.

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