Answer
vertex: $\left(-0.5, 0.25\right)$
axis of symmetry: $x=-0.5$
maximum value: $0.25$
range: $y\le 0.25$
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 $\left(-0.5, 0.25\right)$.
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 $x=-0.5$.
The parabola opens downward so the $y$-coordinate of the vertex is the maximum value.
Hence, the maximum value is $0.25$.
The values of the function are all less than or equal to $0.25$.
Thus, the range is $y\le 0.25$.
vertex: $\left(-0.5, 0.25\right)$
axis of symmetry: $x=-0.5$
maximum value: $0.25$
range: $y\le 0.25$