Mariza+Martinez

Mariza and Ruby Given an equation in the form of f(x)=a(x-h)^2 + k a students can

= = =**I. Understand the role of "a".**=
 * 1) Recognize if it is positive or negative.
 * 2) Recognize that if it is positive the graph opens up and if it is negative it opens down.
 * 3) Recognize that if it is positive the graph opens up and if it is negative it opens down and if "a" is less than one then it is wider than the graph of f(x)=x^2 and if it is greater then one then it is narrower.

=II. Understand the role of h.= >
 * 1) Recognize if it is going to be a positive or negative value.
 * 2) Recognize that when solving x-h=0 if "x" is negative the graph will shift "x" units horizontally to the left and if "x" is positive it will shift "x" units horizontally to the right.
 * 3) Recognize that when solving x-h=0 if "x" is negative the graph will shift "x" units horizontally to the left and if "x" is positive it will shift "x" units horizontally to the right and this value of x is the same value as the x in the ordered pair of the vertex.

=III. Understand the role of k. =
 * 1) Recognize if it is going to be a positive or negative value.
 * 2) Recognize that if "k" is negative the graph will shift "k" units vertically down and if "k" is positive it will shift "k" units vertically up.
 * 3) Recognize that if "k" is negative the graph will shift "k" units vertically down and if "k" is positive it will shift "k" units vertically up and this value of "k" is the same value as the y in the ordered pair of the vertex.