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PREC11 Unit1 notes

# Determine the equation for each graph y a 2 0 y b 2 2

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Unformatted text preview: on both grids. Draw the graphs of the other equations on the appropriate grids. y = −f (x) y = 3f (x) y y 5 5 y = f (x) −5 y = f (x) 0 −5 5x −5 0 −5 5x Unit 1 – Day 3: Graphing y = ax2 Exercises PRE-CALCULUS 11 1. Describe how the graph of y = x2 will be transformed to get the graph of y = ax2 when a) a = 1 b) a > 1 e) a < −1 f ) −1 < a < 0 d ) a = −1 c) 0 < a < 1 g) a = 0 2. Sketch each set of parabolas on the same grid. Label each graph with its equation. a) y = x2 y = 3x2 y = 1 x2 3 b) y = x2 y = 2x2 y = −2x2 c) y = x2 y = −3x2 y = − 1 x2 3 d) y = x2 y = 2x2 2y = x2 3. Determine the equation for each graph. y a) −2 0 y b) 2 2 x −2 −2 −4 −2 0 2 x −2 2 0 x y d) 4 −2 2 −2 y c) 0 2 −4 x 4. Find the equation of the parabola with vertex (0,0) which passes through each point. a) (3,18) b) (4,−16) c) (6,−9) d) (2,24) Unit 1 − Day 3: Graphing y = ax2 Exercises (continued) PRE-CALCULUS 11 5. Find the equation of the parabola with vertex (0,0) which passes through each point. a) (2,−10) b) (3,5) c) ( 3 , 1) 23 d ) ( 2 ,− 6 ) 6. Determine the equation of the parabola th...
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