Question

The red graph (1) is the graph of f(x) = 2^x. Describe the transformation of the blue function (2) and write the equation of the graph.

Answer 1

@Directrix @undeadknight26 Please help! I can't get the graph to work!!!

Answer 2

The closest I've gotten is (-3^(x + .5)) + 3

But the points still don't match up. (pulls hair out in frustration)

Answer 3

Or -4(^x + .5) + 3...but now it looks as though the graph is too compressed

Answer 4

Did you try graphs equations such as y = 2^(-x) and y = (-2)^(x) and the other two variations of that to see how the graphs look?

Answer 5

Hrm...no, I guess I can try it...this is what my textbook told me..

Answer 6

Here is an example of the general function: f(x)= alog(x-h) + k

Answer 7

Finally, sorry, Openstudy was being laggy.

Answer 8

The "a" value stretches the graph vertically by a factor of . If a < 0 the function is reflected across the x-axis.

Answer 9

The "h" value translates the graph horizontally.

Answer 10

The "k" value translates the graph vertically.

Answer 11

A '-x' value flips the equation, but gives it no curve, so it's just a horizontal line.

Answer 12

Or flips it, but flips it across the y-axis, not the x-axis

Answer 13

Look at y = 3 - 2^x

Answer 14

Close - thank you that helped me to get the answer (I think)
Is it y = 3 - 2^(x + 1) ?

Answer 15

I'm looking at this.

Answer 16

Ah...WolframAlpha...the savior of math students. :D

Yeah, the equation works. Thank you so much! That one had me stumped.

Answer 17

I had some ideas - a 3 because the graphs were 3 apart in the second quadrant. Both had to pass through (0,1). The blue one had to flip so a (-x) exponent was needed. I put all that on the "Wolf" and it looked okay.