SOLUTION: Complete the square to write the function in f(x) = a(x − h)^2 + k form. Determine the vertex and the axis of symmetry of the graph of the function. f(x) = −4x^2 +

Algebra ->  Circles -> SOLUTION: Complete the square to write the function in f(x) = a(x − h)^2 + k form. Determine the vertex and the axis of symmetry of the graph of the function. f(x) = −4x^2 +      Log On


   

Question 835918: Complete the square to write the function in
f(x) = a(x − h)^2 + k
form. Determine the vertex and the axis of symmetry of the graph of the function.
f(x) = −4x^2 + 16x − 42
equation:
vertex:
axis of symmetry:
graph:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Study the lesson, "Completing the Square to Solve General Quadratic Equation". Find it through the lessons link in my profile.

First factor the -4 from the quadratic expression, and then add and subtract the missing square term.

%28-4%29%28x%5E2-4x%2B42%2F4%29 is the factored form, and then the square term to add and subtract on the INSIDE of the parentheses is %28-4%2F2%29%5E2=4. The lesson explains everything more thoroughly.