Algebra Ii Unit V: Quadratics Unit Notes Packet Functions Worksheet Page 4
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23Notes: Investigate the effect of “a” on the parabola.
Investigate the effect of “a” on the width of each parabola in comparison to the
2
width of the parabola y = x
. Graph a, b, and c all on the same graph.
2
2
2
a. y = x
b. y = ½x
c. y = 3x
What can you conclude about the effect of “a” on the graph of the parabola?
Now investigate the effect of “a” on the direction of opening of each parabola.
Graph a, b, and c on the same graph.
1
2
2
2
a. y = - x
b. y = - 2x
c.
y
x
= −
4
In conclusion, the parabola opens up if _______________ and opens down if
2
_______________ . The parabola is wider than the graph of y = x
if
2
______________ and narrower than the graph of y = x
if _______________ .
4
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