Name __Answer Key___ Date _______ Period ____
PAP Pop quiz
Match each equation with the name of the function.
1. y = ex C
A. logarithmic parent function
2. y = ln x B
B. natural logarithm function
9. The function f(x)=log10 x +2 is vertically stretched by
a factor of 3, reflected in the y-axis, horizontally
transformed 4 units to the left and vertically transformed
2.5 units up. What is the equation of the vertical
asymptote of the transformed function?
A y = 3 log -1 (x + 4) + 2.5
D x=4
3. y = log x A C. natural base exponential function
5.
B y = 3 log -1 (x + 4) + 4.5
E x=-4
C y = 3 log -1 (x + 4) + 8.5
F y=4
A curve has equation y = f (x). The following
transformations are applied to the curve in the
given order:
For Exercises 10–12, use the graph below.
•
a reflection in the x-axis
•
a dilation of factor 3 from the x-axis
•
a translation of 3 units in the positive direction
of the x-axis
The equation of the resulting curve is:
A y = –3 f (x) + 3
D y = –3 f (x – 3)
B y = 3 f (–x) + 3
E y = f (3 (1 – x))
C y = f (3x – 3) + 3
F None of these
10. Which graph represents the function
y = log10 (x – 1)?
Select true or false for each of the following statements.
(A) True (B) False
5. The domain of a transformed logarithmic function is
always {x ∈ R}.
(B) False
6. Vertical translations must be performed before
vertical stretches/compressions.
(B) False
7. A transformed logarithmic function always has a
horizontal asymptote.
(B) False
A. Graph A
C. Graph C
B. Graph B
D. Graph D
11. Which graph represents the function y = log10 4x?
A. Graph A
C. Graph C
B. Graph B
D. Graph D
12. Which graph represents the function
y= 
1
2
log10 x – 1?
8. The vertical asymptote changes when a horizontal
translation is applied.
A. Graph A
C. Graph C
(A) True
B. Graph B
D. Graph D
13.
14. Match the function with its graph.
log
1
15.
Change h from 1.5 to 6
16. What transformations would need to be applied to f(x) from #15 so the resulting function has an x – intercept of (1,0)?
Answers will vary – (one possible answer: Apply transformations so it is the parent function because the parent function
has an intercept of (1, 0). shift down 5, compress vertically by .5, reflect horizontally, compress horizontally by 4, shift
left 1.5)