I have been teaching for 20 years. I spent my first year teaching 7th grade math, and then switched to high school and have been doing that since. I taught Algebra I for many years. I currently teach Common Core Regents Algebra II, Pre- Calculus, and Calculus. My Pre-Calculus students receive college credit through Onondaga Community College and my Calculus students receive college credit through Syracuse University. My oldest child is about to graduate from high school and will be heading off to college soon so I am looking for ways to make a little extra money.
A polynomial function of $x$ with degree $n$ has the form $$f(x)=a_{n} x^{n}+a_{n-1} x^{n-1}+\cdots+a_{1} x+a_{0}$$ $\left(a_{n} \neq 0\right),$ where $n$ is a_______and $a_{n+} a_{n-1}, . . . ., a_{1}, a_{0}$ are__________numbers.
The graph of a quadratic function is symmetric about its__________
When the graph of a quadratic function opens downward, its leading coefficient isvertex of the graph is a________and the vertex of the graph is a________
Matching In Exercises $7-12,$ match the quadraticfunction with its graph. [The graphs are labeled (a), (b),$(\mathbf{c}),(\mathbf{d}),(\mathbf{e}),$ and $(\mathbf{f}) . ]$
$$f(x)=(x-2)^{2}$$
$$f(x)=(x+4)^{2}$$
$$f(x)=x^{2}-2$$