Answer
$y^{2}=x$
Work Step by Step
Given: The parabola $y^{2}= ax$ is passing through the point $(4,-2)$
This implies that $4a=(-2)^2$
or, $a=1$
Thus, the equation of the parabola becomes:
$y^{2}= ax=(1) x$
$\implies y^{2}=x$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 11 - Section 11.1 - Parabolas - 11.1 Exercises - Page 789: 55
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