Question

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

Answer 1

could you attach the graph please?

Answer 2

well its kind of like a slide....but it seems a l;ittle bigger... what grade is this math?

Answer 3

11th Algebra 2

Answer 4

the equation of the red graph can't be f(x) = 2x

comparing the blue and red graph

red graph move left by 1 unit, move up by 3 units, then flip it upside down. do you know how these transformation will affect the equation?

Answer 5

You mean \(f(x)=2^x\), right? \(2x\) would be a line, not a curve like this one.

In any case, the transformation involves a horizontal and vertical shift. How would you show that for some function \(f(x)\) ?

Answer 6

f(x) = 2x is actually like this.Reply Using Drawing

ok we can assume the red graph is 2x.

do you know what equation will move the red graph to the left 1 unit?

Answer 7

Not sure

Answer 8

ok this is the red graph (just a re-draw)

Answer 9

ok

Answer 10

so the answer is the red line after the transformation (move left 1, move up 3, flip upside down) = the blue line

Answer 11

can you help with equation I'm stuck lol I get what your saying a little

Answer 12

In other words how did you get
move left 1, move up 3, flip upside down

Answer 13

red line

Answer 14

blue line