#### Answer

Vertex: (3,4)
x-intercepts: 1, 5
y-intercept: -5
Maximum value of f is 4
Domain is all real numbers and range is from (-infinity, 4]

#### Work Step by Step

From the graph:
vertex of parabola is (3,4)
x-intercepts are (1,0) and (5,0)
Find y-intercept, plug x=0:
$y=-0^2+6\times0-5=-5$
Since vertex at (3,4) and parabola opens downward, maximum value is 4.
Domain is all real numbers and range is from (-infinity, 4] as seen on the graph