Answer:
a = 1/4
b = -2
c = -5
Explanation:
The given points (-2, 0) and (10, 0) are the x-intercepts, which means the x roots of the quadratic function are: x = 2, -10
Use the point (12, 7) to find the constant C:
f(x) = C(x + 2)(x - 10)
f(12) =7 = C(12 + 2)(12 - 10)
C(14)(2) = 7
C = 7/28 = 1/4 plug this value of C into the equation and put it into standard form:
f(x) = 1/4(x + 2)(x - 10)
f(x) = 1/4(x² - 8x - 20)
f(x) = 1/4x² - 2x - 5
Now you have your a, b, and c values:
a = 1/4
b = -2
c = -5