Answer
$B=5$
Work Step by Step
It is given, that $f(-1)=12$.
Substituting $x=-1$ into the function $f(x)$ gives:
$f(-1)=3(-1)^2-B(-1)+4$
$12=3(1)+B+4$
$12=3+B+4$
$12=7+B$
Solving this equation for $B$ we get:
$12-7=B\\
5=B$
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 1.1 Functions - 1.1 Assess Your Understanding - Page 55: 84
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