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Algebra I
Name _________________________
Answer the following questions in your own words.
1.) What process can you use to graph any function in the form f(x) = _________?
2.) Which transformations move a graph up, down, left, and right?
3.) How can you tell from a table over which intervals a function is increasing or decreasing?
How do you write those intervals?
x y
-2 -2
-1 -5
0 -6
1 -5
2 -2
4.) How can you find the vertex of a quadratic function if it is in the form f(x) = a(x-h)2 + k?
How can you find the vertex if the quadratic equation is in the form f(x) = ax2 + bx = c?
5.) In h(t) = -16t2 + v0t + h0, where do the initial (starting) velocity and height go?
6.) Explain the different shapes of graphs and patterns with y values found in linear, exponential, and
quadratic functions. (Given an x-y table, how can you tell if you have a linear, exponential, or
quadratic function?)
7.) What is a process to use when multiplying rational expressions (fractions)? Make sure you include
how to reduce or simplify your solution.
8.) What is the process to use when adding or subtracting rational expressions? Make sure you
include how to find the best common denominator.