## Algebra 2 Common Core

vertex: $\left(-0.75, 5.125\right)$ axis of symmetry: $x=-0.75$ maximum value: $5.125$ range: $y\le 5.125$
Use a graphing utility to graph the given function. Refer to the graph below. The vertex is the lowest or highest point on the parabola. Notice that the vertex is at $\left(-0.75, 5.125\right)$. The axis of symmetry of the graph is the line $x=h$ where $h$ is the $x$-coordinate of the vertex. Thus, the axis of symmetry is $x=-0.75$. The parabola opens downward so the $y$-coordinate of the vertex is the maximum value. Hence, the maximum value is $5.125$. The values of the function are all less than or equal to $5.125$. Thus, the range is $y\le 5.125$. vertex: $\left(-0.75, 5.125\right)$ axis of symmetry: $x=-0.75$ maximum value: $5.125$ range: $y\le 5.125$