SOLUTION: Sketch a graph of the quadratic function. f(x) = −2x2 + 5x − 6 Give the vertex, axis of symmetry, and intercepts. (If an answer does not exist, enter DNE.)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Sketch a graph of the quadratic function. f(x) = −2x2 + 5x − 6 Give the vertex, axis of symmetry, and intercepts. (If an answer does not exist, enter DNE.)       Log On


   

Question 1071422: Sketch a graph of the quadratic function.
f(x) = −2x2 + 5x − 6
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!
You first want standard form.

f%28x%29=-2%28x%5E2-5x%2F2-3%29

The term to use to Complete The Square is 5%2F4. Add and Subtract this term INSIDE the parentheses and the adjustment steps will give you
highlight%28f%28x%29=-2%28x-5%2F4%29%5E2-23%2F8%29.

The rest is up to you, since a couple like this were already done for you.