Given the following quadratic equation, find

a. the vertex
b. the axis of symmetry. the intercepts
d. the domain
e. the range
f. the interval where the function is increasing, and
g. the interval where the function is decreasing
h. Graph the function y=x^2-6x

                    

1 answer

let's complete the square on y = x^2 - 6x

y = x^2 - 6x + 9 - 9
= (x-3)^2 - 9

It is now in the form y = a(x-p)^2 + q
the form you should find in your text or your notes

All your question can now be answered without any further calculations.