Lesson 2 Quiz C
Name______________________
1. The graph of a function y = f(x) is given.
Match each rule with the correct graph.
i.
g(x) = –f(x)
ii) h(x) = f(x) – 2
Rule:
Rule:
Rule:
Rule:
iii) k(x) = f(x – 2)
iv) p(x) = 2 – f(x)
2. The graph of y = x2 is translated so that the minimum is located at (5, -10). Write a
function rule for the translated graph. Explain your reasoning.
3. The graph below gives the average high temperature in Albuquerque, New Mexico, as a
function of the day of the year. Each day, the average low temperature in Albuquerque
is approximately 45˚F lower than the average high temperature.
a. What translation of the average high temperature graph will produce the graph of the average
low temperature?
b. Write a coordinate rule for the transformation you described in Part a.
c. On the graph above, sketch the graph of the average low temperature in Albuquerque as a
function of the day of the year.
d. The function rule for the average high temperature graph is h(x) = 23 sin (0.17x – 2) + 70.
Write a function rule for the average low temperature graph. Explain your reasoning
4. Consider a function f(x). The zeroes of the function are x = 3 and x = –2 and the
y-intercept of the function is (0, –6).
a. If possible, find the zeroes of g(x) = f(x + 5). If not possible explain why not.
b. If possible, find the y-intercept of h(x) = –f(x). If not possible, explain why not.
5. Suppose that f(x) and g(x) are functions for which g(x) = f(x) + 5.
a. If f(x) has a y-intercept of (0, 2), what (if anything) can be said about the y-intercept of g(x)?
b. If f(x) has an x-intercept of (6, 0), what (if anything) can be said about the x-intercept of g(x)?
a. f(x) = 5x - 6, transformation (x, y) →(x, -y + 7)
b. f(x) = |𝑥|, transformation (x, y) →(x - 4, -2 - y)
c. f(x) = x2 - 6x, transformation (x, y) →(x + 5, y - 8)