[20 points} each statement describes a transformation of the graph of y = log2x. which statement correctly describes the graph of y = log2(x + 3) - 9? a. it is the graph of y = log2x translated 3 units down and 9 units to the left. b. it is the graph of y = log2x translated 9 units down and 3 units to the right. c. it is the graph of y = log2x translated 9 units down and 3 units to the left. d. it is the graph of y = log2x translated 3 units up and 9 units to the left.

Short Answer C

A number with an x where both are inside brackets and separated by a plus or minus sign moves left or right.

x - a would move right

x + a would move left providing in both cases that a>0. In this case we have (x + 3) so the graph moves left.

This rule is exactly the opposite that you think it should be.

A number outside the brackets with only 1 set of brackets moves the graph up or down.

(x +/- a) - b moves the graph down

(x +/- a) + b moves the graph up

Just what you think it should do. +b up; - b down.

So the answer is 3 units left and 9 units down.

One of the things you should always do is graph the given function and the translated function of the given function. I've done that for you.

y = log_2 (x) is red

y = log_2 (x + 3) - 9 is in blue.

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

so then what are you asking?

step-by-step explanation: