Question

What transformation has changed the parent function f(x) = log2 x to its new appearance shown in the graph below?
@rm152

Answer 1

@ranga

Answer 2

we need pictures lol

Answer 3

sorry i forgot
@inkyvoyd

Answer 4

@rm152

Answer 5

It has been shifted upwards 3 units.

Answer 6

f(x + 2) + 3 like that

Answer 7

Compare it to how \[\Large y = \log_{2} x\]would look like and you will see what shifts have taken place. The function has been shifted both along the x-axis and the y-axis. If you compare the graph you will know the amount by which it has been shifted along each axis and you can come up with the function.

Answer 8

I have a feeling it is also compressed or stretched. What are the options.

Answer 9

f(x + 3) + 2

f(x − 3) − 2

f(x + 2) + 3

f(x − 2) − 3

Answer 10

what do you think @ranga @rm152

Answer 11

The first answer f(x+3) + 2

Answer 12

The function y = log(x) has a vertical asymptote at x = 0.
This function has a vertical asymptote at x = -2.
Therefore, the function has been shifted to the left by 2 units.
Shifting to the left by 2 units is same as replacing x by (x + 2).

\[\Large y = \log_{2} (x+2) + k\]
When x = 0, the log function is 1. The y-intercept on the graph is 4. So k must be 3.
Therefore,
\[\Large y = \log_{2} (x+2) + 3\]

or y = f(x+2) + 3

Answer 13

theres a part b to the question
which is equivalent to \[\log_{125}25 \]

1.076

3 / 2

2 / 3

2/5

Answer 14

Let \[\log_{125}25 = \log_{5}25 / \log_{5}(125)= ?\]

Answer 15

2/3

Answer 16

Yes.

Answer 17

woohooo!

Answer 18

Alright.