SOLUTION: 3. A quadratic function f can be written in the form f(x) = a(x - p)(x - 3). The graph of f has axis of symmetry x=2.5 and y-intercept at (0,-6) a. Find the value of p. b.

Algebra ->  Functions -> SOLUTION: 3. A quadratic function f can be written in the form f(x) = a(x - p)(x - 3). The graph of f has axis of symmetry x=2.5 and y-intercept at (0,-6) a. Find the value of p. b.      Log On


   

Question 1104000: 3. A quadratic function f can be written in the form f(x) = a(x - p)(x - 3). The graph of f has axis of symmetry x=2.5 and y-intercept at (0,-6)
a. Find the value of p.
b. Find the value of a.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Symmetry axis is the exact middle of p and 3.
%28p%2B3%29%2F2=2.5
p%2B3=5
p=2
Now your function is f%28x%29=a%28x-2%29%28x-3%29



a=f%28x%29%2F%28%28x-2%29%28x-3%29%29
Use the given y-intercept (0,-6).
a=-6%2F%28-2%2A%28-3%29%29
a=-6%2F6
a=-1

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highlight%28f%28x%29=-%28x-2%29%28x-3%29%29