Question

The parabola passes through the point (5,2) and has a minimum at (4,-3)

Answer 1

y=5x²-40x+77

Explanation:

y=ax²+bx+c

when it passing (5,2)

2=25a+5b+c (1)

when it passing (4,-3)

-3=16a+4b+c. (2)

cuz (4,-3) is the minimum

-b/2a=4. (3)

a=5

b=-40

c=77

so

y=5x²-40x+77