# Chapter 2 - Functions and Their Graphs - 2.2 The Graph of a Function - 2.2 Assess Your Understanding - Page 64: 5

$a=-2$

#### Work Step by Step

Given: $f(x)=ax^{2}+4$ $(-1,2)$ Plug in the given values of $x$ and $y$ and solve for $a$. $2=a(-1)^{2}+4$ $2=a+4$ $a=-2$

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