Question

[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.

Answer 1

the answer is c

Explanation:

got it right on plato

Answer 2

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.