Question

Describe how the graph of each function compares with the graph of the parent function y=log3(x-5)+3
A. It translates the graph to the right 5 units and down 3 units
B. It translates the graph to the left 5 units and up 3 units
C. It translates the graph to the right 5 units and up 3 units
D. It translates the graph down 5 units and to the right 3 units

Answer 1

Answer:

C. It translates the graph to the right 5 units and up 3 units

Step-by-step explanation:

$y=log_3{(x-5)+3}$

Parent function is

$y=log_3 (x)$

If any number is added with x  then it translates the graph to the left

If any number is subtracted with x  then it translates the graph to the right

Here 5 is subtracted with x  so  it translates the graph to the right 5 units

If any number is added at the end  then it translates the graph up

If any number is subtracted at the end  then it translates the graph down

Here 3 is added at the end  so  it translates the graph up 3 units

Answer 2

Answer: 1. B) log5 625= 4

2. A) log1/3 1/27=3

3. D) 128=2^7

4. B) 1/9= 3^-2

5. B) 4

6. C) 1/2

7. D) undefined

8. A) 0

9. C) it translates the graph up 1 unit

10. C) it translates the graph to the right 5 units and up 3 units

Step-by-step explanation: 100% for practice :)