SOLUTION: Sketch a graph of the quadratic function. f(x) = x^2 - 4x Give the vertex, axis of symmetry, and intercepts. (If an answer does not exist, enter DNE.)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Sketch a graph of the quadratic function. f(x) = x^2 - 4x Give the vertex, axis of symmetry, and intercepts. (If an answer does not exist, enter DNE.)       Log On


   

Question 1071424: Sketch a graph of the quadratic function.
f(x) = x^2 - 4x
Give the vertex, axis of symmetry, and intercepts. (If an answer does not exist, enter DNE.)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Factorization should be enough for this one.

f%28x%29=x%5E2-4x=x%28x-4%29

Roots are 0 and 4, so you know symmetry axis is at x=2 (because in the exact middle of the roots) and the vertex will occur also for x=2. You find that value!

graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E2-4x%29