Determine the equation of the quadraticcc function

Question

f(x)=ax^2-6x-7 if f(2)=3

Answer 1

we substitute the given values and solve for a. at x = 2, f(x) = 3:
3 = a(2^2) - 6(2) - 7
3 = 4a - 12 - 7
3 = 4a - 19
3 + 19 = 4a
22 = 4a
a = 5.5
substituting back,
f(x) = 5.5x^2 - 6x - 7

hope this helps~ :)

Answer 2

Thanks!

Answer 3

bump!