This preview shows page 1. Sign up to view the full content.
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,...
View Full Document