Question

help please

Answer 1

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 2

well, proper notation helps. f(x) is not equal to 2x

Answer 3

okay

Answer 4

what are your thoughts about a transformation we could apply?

Answer 5

it moves up 3 units?

Answer 6

hmm, it might

2^x + 3 could be a start, we need to flip it over tho and so im thinking we could reflect it first, then move it up

Answer 7

to flip it over we want to multiply thru by -1

y = 2^x

-y = -2^x

when x=0, we want -y=1

1 = -2^0 + k

2 = k

this gives us a new function so far as say: g = -2^x + 2 which we may need to adjust to hit key points on the graph

Answer 8

(1,-1) (2,-5)

-1 = -a2^(1) + 2

-3 = -2a

a = 3/2, which aint gonna fit since that gives us 2,-4 instead of 2,-5 so this approach is not going to be exactly what we require

Answer 9

okayyy

Answer 10

it may be a flip, lift and shift

Answer 11

y = -2^(x-h) + 3

1 = -2^(0-h) + 3

-2 = -2^(-h), when -h=1

so we might be able to work it as

y = -2^(x+1) + 3

Answer 12

so what would i write for the transformation of the blue line?

Answer 13

thats what ihave been working to detemrine, i think i hve found a suitable transformation

Answer 14

reflect, left, and shift

Answer 15

ugh .. typo

reflect, lift, shift

Answer 16

and would y = -2^(x+1) + 3 be the equation?

Answer 17

i believe so, it hits al the visual points that the blue line does

Answer 18

okayy thank you!

Answer 19

yw