Ryker is given the graph of the function [tex] y = \frac{1}{2}x^2 - 4 [/tex]. He wants to find the zeros of the function but is unable to read them exactly from the graph.
Find the zeros in simplest radical form.
Answer (2)
y = 2 1 x 2 − 4 y = 0 2 1 x 2 − 4 = 0 / ∗ 2 x 2 − 8 = 0 ( x − 8 ) ( x + 8 ) = 0 x − 4 ⋅ 2 = 0 or x + 4 ⋅ 2 = 0 x − 2 2 = 0 or x + 2 2 = 0 x = 2 2 or x = − 2 2
The zeros of the function y = 2 1 x 2 − 4 are x = 2 2 and x = − 2 2 .
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