SOLUTION: Express the quadratic function in standard form f(x) = -x^2+4x must find the vertex, x-intercept and y-intercept Please help!

Algebra ->  Equations -> SOLUTION: Express the quadratic function in standard form f(x) = -x^2+4x must find the vertex, x-intercept and y-intercept Please help!      Log On


   

Question 948099: Express the quadratic function in standard form
f(x) = -x^2+4x
must find the vertex, x-intercept and y-intercept
Please help!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-x%5E2%2B4x
The term to add and subtract inside the parentheses is %28-4%2F2%29%5E2=4.
-%28x%5E2-4x%2B4-4%29
-%28%28x%5E2-4x%2B4%29-4%29
-%28%28x-2%29%5E2-4%29
highlight%28f%28x%29=-%28x-2%29%5E2%2B4%29


Vertex is (2,4) read directly from the function in standard form.
Solve for f(x)=0 to find x-intercepts.
Set x=0 to evaluate y-intercept.