If 1 a 1 compress the graph toward the x axis apply

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Unformatted text preview: nge of this function? • Does this function have a maximum value or a minimum value? What is it? • What is the y-intercept of the graph? • What are the approximate values of the graph’s x-intercepts? 5 x Unit 1 – Day 5: Combining Transformations Page 2 of 3 Another (slower) method to graph y = 2(x + 5)2 − 7 is to complete this table to find the vertex and other points to plot, then draw the rest of the graph. x + 5 (x + 5)2 x −2 0 1 1 2 (x,y) 1 0 2(x + 5)2 − 7 = y 4 −1 2(x + 5)2 4 Are these five points on the graph of this equation? SUMMARY To draw the graph of y = a(x − p)2 + q apply the transformations of a, p, and q in this order to the graph of the basic quadratic function. • Apply the transformation(s) due to a. y If a < 0 reflect the graph about the x-axis. If a > 1 or a < −1 expand the graph away from the x-axis. If −1 < a < 1 compress the graph toward the x-axis. • Apply the transformation due to p. q If p > 0 translate the graph to the right. If p < 0 transl...
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