In this discussion, I'd like you to do things a little differently. In particular, please do the following four things:
A) (3 points) Make up a quadratic function of the form ax²+bx+c, where a, b and c are non-zero integers and a is not 1.
As an example, my function is 3x² - 2x + 7(pick a different example for yourself.)
Then, find f(-2).
f(a+h)-f(a),
h
B) (5 points) Use your function to find
(for h not equal to 0). Show your work and be sure to simplify your result. Note that the a and h
here refer to variables, not the a from the ax² +bx+c. Unfortunately it is common to use an "a" in each case..Hint: Your final answer should have a's
and h's in it or you did something wrong, but the h in the denominator will cancel out. Using my f from part A, I would get 6a+3h-2.
If someone else finds that your result is incorrect, please review your work and re-post with an explanation.