Question

the graph of quadratic function m is shown on the grid.
if $p(x) = x^2$ and $m(x) = p(x) + r$, what is the value of $r$?

Explanation:

Step1: Identify vertex of $p(x)$

The function $p(x)=x^2$ has vertex at $(0,0)$.

Step2: Identify vertex of $m(x)$

From the graph, $m(x)$ has vertex at $(0,-3)$.

Step3: Relate $m(x)$ to $p(x)$

Since $m(x)=p(x)+r$, substitute vertex values:
$-3 = 0 + r$

Answer:

$-3$