You can put this solution on YOUR website! Find a possible formula for the quadratic function whose graph has x-intercepts 4 and 8 and y-intercept 34.
:
We can start out with the factors of 34, 2 & 17
(mx - 2) * (nx - 17)
Find the coefficients m * n, of x that will give x intercepts of 4 & 8
4m = 2
m = 2/4
m = .5
Therefore
(.5x - 2) is one factor
and
8n = 17
n = 17/8
n = 2.125
therefore
(2.125x - 17) is the other factor
FOIL
(2.125x - 17)(.5x - 2) = 0
1.065x^2 - 4.25x - 8.5x + 34 = 0
y = 1.0625x^2 - 12.75x + 34 is the equation
Looks like this
