Answer
vertex: $\left(1.5, -1.5\right)$
axis of symmetry: $x=1.5$
minimum value: $-1.5$
range: $y\ge -1.5$
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 $\left(1.5, -1.5\right)$.
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 $x=1.5$.
The parabola opens upward so the $y$-coordinate of the vertex is the minimum value.
Hence, the minimum value is $-1.5$.
The values of the function are all greater than or equal to $-1.5$.
Thus, the range is $y\ge -1.5$.
vertex: $\left(1.5, -1.5\right)$
axis of symmetry: $x=1.5$
minimum value: $-1.5$
range: $y\ge -1.5$
