SAT Mathematics Practice Test 5

Since the point $\left(2,5\right)$ lies on the graph of $\mathit{y}=\mathit{f}\left(\mathit{x}\right)$ in the $\mathit{x}\mathit{y}-$plane, the ordered pair $\left(2,5\right)$ must satisfy the equation $\mathit{y}=\mathit{f}\left(\mathit{x}\right)$. That is, $5=\mathit{f}\left(2\right),$ or $5=\mathit{k}-2^2$. This equation simplifies to $5=\mathit{k}-4$. Therefore, the value of the constant $\mathit{k}$ is $9$.