#### Answer

Domain: $(-\infty, \infty)$
Range: $[-4,\infty)$
Vertex: $(5,-4)$
Axis: $x=5$
Y-intercept: $(0,21)$
X-intercepts: $(3,0)$ and $(7,0)$

#### Work Step by Step

Domain: x can have value.
Range: There are no points on the graph that have a y-value less than -4.
Vertex: Can be seen on the graph.
Axis of parabola: Has the same x-value as the vertex.
Y-intercept: Substitute 0 for x and solve for y.
$$y=(0-5)^2-4$$
$$y=25-4$$
$$y=21$$
Zeroes: Substitute 0 for y and solve for x.
$$0=(x-5)^2-4$$
$$4=(x-5)^2$$
$$x=5+2, 5-2$$
$$x=7,3$$