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Unformatted text preview: 4 4 −4 23. −4 x c) 3 4 −4 4 −4 17. a) 11
18. a) 3
19. 0 4 25. a, c, d, e 26. y = 2(x − 3)2 − 8 → y = 2x2 − 12x + 10 4 x Unit 1 – Day 3: GRAPHING y = ax2 PRECALCULUS 11
GRAPHING y = ax2 .............. or y
= x2
a
y
2 example: For the function y = 2x : a= • Complete the table of values. x2 x 2x2 15 = 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 • Compare this function’s
graph to the basic graph. 10 5 −5 5x 0 • 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? y
y
= x2 . So replacing y by
in the equation causes a vertical expansion to
2
2
y
the graph. To see why, determine the values of
and then determine the new ycoordinates.
2 y = 2x2 can be written as (x,y) y ← ____________ y
2 = (3)2 , (3,9) ? ← ? = (3)2 , = (2)2 , (2,4) ← = (2)2 , 1 = (1)2 , (1,1) ← = (1)2 , 0 = (0)2 , (0,0) ← = (0)2 , 1 = (...
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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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