PREC11 Unit1 notes

9 quadratic functions do not all have the same number

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Unformatted text preview: ,−9) b) vertex at (0,−6), passing through the point (3,21) c) vertex at (2,5), passing through the point (4,−11) d) vertex at (−3,−10), passing through the point (2,−5) e) vertex at (6,30), with a y-intercept −24 d) minimum value of −24 and x-intercepts at −21 and −5 7. The point (4,16) is on the graph of f(x) = x2. Describe what happens to the point when each of the following sets of transformations is performed in the order listed. Identify the corresponding point on the transformed graph. a) a horizontal translation of 5 units to the left and then a vertical translation of 8 units up b) a compression in to the x-axis by a factor of ¼ and then a reflection in the x-axis c) a reflection in the x-axis and then a horizontal translation of 10 units to the right d) an expansion away from the x-axis by a factor of 3 and then a translation of 8 units down 8. Describe how to obtain the graph of y = 20 − 5x2 using transformations on the graph of y = x2. 9. Quadratic functions do not all have the same number of x-intercepts. Is the same true about y-intercepts? Explain. Unit 1 − Day 5: Combining Transformations Exercises (continued) PRE-CALCULUS 11 ANSWERS 1. a) Given the graph of y = x2, translate the entire graph 5 units to the left and 11 units up. b) Given the graph of y = x2, reflect the graph in the x-axis and expand the graph away from the x-axis by a factor of 3 and translate the entire new graph down 10 units. c) Given the graph of y = x2,...
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This document was uploaded on 02/16/2014 for the course MATH Pre-Calcul at Holy Cross Regional High School.

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