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# Download 9-1/2 - Fort Thomas Independent Schools

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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.