Answer
vertex: $\left(-0.75, 5.125\right)$
axis of symmetry: $x=-0.75$
maximum value: $5.125$
range: $y\le 5.125$
Work Step by Step
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: $y\le 5.125$
