SOLUTION: Given the quadratic function y = a(x−5)(x+3)  passes through the point (1, 32). State the value of a and the y-intercept of this function.

Algebra ->  Functions -> SOLUTION: Given the quadratic function y = a(x−5)(x+3)  passes through the point (1, 32). State the value of a and the y-intercept of this function.      Log On


   

Question 1180503: Given the quadratic function y = a(x−5)(x+3)  passes through the point (1, 32).
State the value of a and the y-intercept of this function.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y+=+a%28x-5%29%28x%2B3%29%E2%80%89 passes through the point (1, 32).
substitute coordinates of the point
32+=+a%281-5%29%281%2B3%29%E2%80%89
32+=+a%28-4%29%284%29%E2%80%89
32+=+-16a
a=-2

y+=+-2%28x-5%29%28x%2B3%29%E2%80%89....
to get y-intercept, plug in 0 for x
y+=+-2%280-5%29%280%2B3%29%E2%80%89
y+=+30%E2%80%89

y-intercept is at (0,30)


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+35%2C+-2%28x-5%29%28x%2B3%29%29+



State the value of a and the y-intercept of this function.