The value of <em>a </em>determines whether the graph opens <u>up</u> or <u>down</u>. The value of <em>a </em>also makes the parent function <u><em>wider</em></u> or <u>narrower</u> (vertical stretch by a factor of <em>a </em>). If <em>a </em>> 1, the graph is <em>narrower</em> than the parent function.
The value of <em>h </em>determines how far left or right the parent function is translated. If <em>h </em>is <u>positive</u>, the function is translated <em>h</em> units <u>to the right</u>.
The value of <em>k </em>determines how far up or down the parent function is translated. If <em>k</em> is <u>positive</u>, the function is translated <em>k </em>units up.
Given these descriptions, we can assume that:
The function is <u><em>vertically translated</em></u> by 2 units upward.
The function is <u><em>horizontally translated</em></u><em></em>by 7 units to the right.
Vertical stretch by a factor of 3/2 (or 1.5).
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