Question

what is the transformation of the graph
g(x)=-log(x)+2

Answer 1

Do you know what y=log(x) looks like?

If so, then what are your transformations here?

Answer 2

i dont understand

Answer 3

First go from

y=log(x) ---to---> y=-log(x) What does that do to the graph?

Then from
y=-log(x) ---to---> y=-log(x)+2 What does that do to the graph?

Answer 4

it adds 2 to the right

Answer 5

right?

Answer 6

no.... but start with the first one.

y=log(x) ---to---> y=-log(x) What does that do to the graph?

If I have y=f(x) and then I go to y=-f(x), what do I do? First I evaluate f(x) (just like before the transformation), then I take every y value and multiply it by (-1).

Answer 7

What does that do to the graph?

Answer 8

flipped it

Answer 9

Right, flips it over the x-axis.

Answer 10

ok i get that part now

Answer 11

Now I take f(x) and add 2 to it... what does that do...? What happens to every y-coordinate?

Answer 12

2 gets added

Answer 13

Yes, 2 gets added to the y coordinates.... so the graph does what?

Answer 14

does it stretch, shrink, shift up, down, shift right, left? .... what?

Answer 15

flips over the x- axis and moves two to the right