Question

if a parabola passes through the point (0 ,3 ) and (8, 3 )and has minimum at ( P ,-2 ) what is p?

please tell me how to do this​

Answer 1

Answer:

p = 4

Step-by-step explanation:

y = ax² + bx + c

A parabola passes through the point A(0, 3) ⇒ c = 3

and a parabola passes through the point A'(8, 3) ⇒ midpoint of AA' is on the axis of symmetry and p = $\frac{0+8}{2}$ = 4

(4, - 2) are coordinates of vertex .

y = $\frac{5}{16}$ (x - 4)² - 2