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Transcript
9-1 The Function with the Equation y = ax²
1. Graph y = 1.5x 2
x
y
-3
-2
-1
0
1
2
-3
3
B
y
16
12
8
4
x
-2
-1
1
2
3
2. a. Graph y = -1.5x²
x
y
-3
-2
-3 -2
-1
0
1
2
3
y
4 __
__
__
__
-4 __
__
-8 __
__
-12 __
__
-16 __
b. What quadrant does this graph have points?
c. What are the coordinates of the
vertex of this parabola?
x
2
3
Special Properties about Parabolas
If y = ax²
a. The _____ is the line of ________
b. The vertex is ____
c. If a>0, then it opens __, & the
vertex is a ____________ (______
point on the graph).
d. If a<0, then it opens ____, & the
vertex is a ____________
(______ point on the graph).
9-2 Solving y = ax²
3. Use your graph in question 1 above. At what
points does the graph of y=7 intersect the graph
of y=1.5x² ?
To check it, graph y=7 on graph 1.
G
Solve the following equations.
4. 4x² = 100
5. 6(4n -3)² = 54
6. A stone is dropped from the 555-foot Washington Monument,
located on the National Mall in Washington, D.C. To determine
how long the stone will be in the air, use Galileo’s equation
d = 16t². In the equation, t is the time in seconds that it takes
a heavier-than air object to fall d feet. Round your answer to the
nearest tenth of a second.