Question

FAN AND MEDAL PLS HELP
what is the equation in standard form of a parabola that models the values in the table?

x = -2, 0, 4
f(x) =1, 5, -59

please xplain how you get it! this is a practice problem.

Answer 1

y = ax^2 + bx + c is the general form of a parabola

Answer 2

If you plug the given values of x and y into this you will get 3 equations in a,b and c which you can solve simultaneously

Answer 3

OHHHHHH i get it now thank you!!!!!

Answer 4

for example x = 0 f(x) = 5
so we have
a(0)^2 + 0b + c = 5
c = 5

so we have tha value of c already

Answer 5

x = -2 , f(x) = 1:-

1 = a(-2)^2 - 2b + 5
4a - 2b = -4 is the second equation

Answer 6

perform the same process with x = 4 and f(x) = -59 to get another equation in a and b
Then you can solve the system of 2 equation to get the values of a and b