Question

Best answer gets a medal! Determine a quadratic function with the given information. Answer in the form y=a(x-h)^2+k

Write the equation of a quadratic function whose roots are -3/7 and 2/5 (answer without fractions)

Answer 1

use y = a (x - h)^2 + k and put in the vertex values for h and k so if vertex is (-1, 4)

y = a(x-(-1))² +4

y = a(x+1)² +4 now put in the point for x&y to solve for a --> point is (-3, - 4) so

-4 = a(-3+1)² +4

-8 = a(-2)²

-8 = a(4)

-2 = a

so the equation is

y = -2(x+1)² +4

Answer 2

Hope this helps!