Answer:
See attachment.
Step-by-step explanation:
The given function is
[tex]h(x) = \frac{1}{4} (x - 1)(x + 7)[/tex]
This is a quadratic function with x-intercepts at
[tex]x = 1 \: and \: x = - 7[/tex]
The graph is a minimum parabola because the leading coefficient is positive.
The y-intercept is at where x=0.
[tex]h(x) = \frac{1}{4} (0 - 1)( 0+ 7) = - \frac{7}{4} [/tex]
With the knowledge of the shape of the graph, and the intercepts, we can graph the function as shown in the attachment.
