Answer
$a = -2 $
Work Step by Step
$f(-1) = (-1)^{2}a + 4
\\f(-1) = 1(a^2)+4
\\f(-1)=a^2+4$
Since $f(-1) = 2$, then
$f(-1)=a^2+4
\\2 = a + 4
\\2-4=a
\\-2=a$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 1 - Functions and Their Graphs - Section 1.2 The Graph of a Function - 1.2 Assess Your Understanding - Page 61: 5
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