To see why determine the values of y 4 and then

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Unformatted text preview: nit 1 – Day 4: GRAPHING y = x2 + q and y = (x−p)2 PRE-CALCULUS 11 GRAPHING y = x2 + q ........... or y − q = x2 example: For the function y = x2 + 4 : y q= • Complete the table of values. x x2 −3 9 −2 4 −1 0 1 1 2 4 3 • Use the table to draw the graph of this function. 1 0 x2 + 4 = y 9 5 • Compare this function’s graph to the basic graph. −5 0 5x −5 • 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 = x2 + 4 can be written as y − 4 = x2 . So replacing y by y − 4 in the equation causes a upward translation to the graph. To see why, determine the values of y − 4 and then determine the new y-coordinates. (x,y) y ← y−4 (3)2 , (3,9) ? ← ? = (2)2 , (2,4) ← = (2)2 , 1 = (1)2 , (1,1) ← = (1)2 , 0 = (0)2 , (0,0) ← = (0)2 , 1 = (−1)2 , (−1,1) ← = (−1)2 , y = x2 9 = 4 = x2 = (3)2 , (x,y) Unit 1 – Day 4: Graphing y = x + q and y = (x−p) 2 exercise: Graph 2 Page 2 of 4 y = x2 − 6 and then: y • descri...
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