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Unformatted text preview: −1)2 , (−1,1) ← = (−1)2 , y = x2 9 = 4 x2 (x,y) Unit 1 – Day 3: GRAPHING y = ax exercise: Graph 2 Page 2 of 4 y = 3x2 Graph y = 1 x2
2 y 15 15 10 10 5 −5 y 5 −5 5x 0 example: For the function y = −x2: 5x 0 y a= • Complete the table of values. x x2 −x2 = y • Use the table to draw the
graph of this function. −3 9 −2 4 −1 1 0 0 1 1 2 4 3 9 5 • Compare this function’s
graph to the basic graph. • What are the coordinates of the graph’s vertex?
• What is the equation of graph’s axis of symmetry?
• What is the domain and range of this function? −5 0 −5 5x Unit 1 – Day 3: GRAPHING y = ax exercise: Graph 2 Page 3 of 4 y = −2x2 Graph y −5 y = − 1 x2
2
y 0 −5 5x 0 −5 −10 −15 SUMMARY: −5 −10 5x −15 To draw the graph of y = ax2 or When a > 0, (a is positive): y
= x2
a When a < 0, (a is negative): • The parabola opens upward. • The parabola opens downward; the basic
graph is vertically reflected about the xaxis. • If a > 1, the basic graph is vertically
expanded (stretched) away from the xaxis
by a factor of a (by a times). • If a < −1, the basic grap...
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This document was uploaded on 02/16/2014 for the course MATH PreCalcul at Holy Cross Regional High School.
 Fall '11
 Aytona
 Calculus, PreCalculus, Polynomials

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