Answer:
p = - 5
Step-by-step explanation:
The vertex of the function is (0.5, 30.25 )
Since the roots are (6, 0) and (p, 0) then the axis of symmetry is vertical
with equation x = 0.5
The axis of symmetry passes through the midpoint of the roots, thus
[tex]\frac{6+p}{2}[/tex] = 0.5 ( multiply both sides by 2 )
6 + p = 1 ( subtract 6 from both sides )
p = - 5
