Question

HELP!?! Given its parent function, f(x) = 2x, what is the equation of the function shown?

Answer 1

hint:
f(x) = 2^x

when x = 0 f(x) = 2^0 = 1

so the graph of f(x) = 2^x will pass through +1 on the vertical axis

Answer 2

Hmmm I think I need further help reallly new to this

Answer 3

how would I do that/

Answer 4

on the graph for x=0 then f(x)=2 so substitute 0 in place of x to find 2

Answer 5

ok

lets try inserting values of x into each option

first option:

x = o h(x) = 2^0 - 1 = 1-1 = 0

the graph passes thru vertical axis at 2 so not this one

Answer 6

second: x = 0, (x) = 1 - 3 = -2

not this one

Answer 7

so try 3rd and 4th options - can you do that?

Answer 8

if x = 0 fits you'll then need to try x = 1 to check the point (1,5)

Answer 9

do you follow me ok?

Answer 10

I'm trying to thank you

Answer 11

correction:
* second option: x=o , h(x) = 2^0 -3 = -2

Answer 12

so what do I do now?

Answer 13

Ohh you mean it's that one

Answer 14

plug in x = 0 into the third option h(x) = 3(2^x) - 1 and see if this gives you 2
(that is to check if the graph passes through h(x) axis at 2)

Answer 15

no its not second one because h(x) = -2 not 2

Answer 16

wait

Answer 17

it gave me 2

Answer 18

oh so it's A

Answer 19

right - thats ok so far
now notice the graph also goes through the point (1,5)
that is when x = 1 h(x) = 5

so now plug in x = 1 into 3rd option and check if you get 5

Answer 20

what option?

Answer 21

Oh ok I see it now @cwrw238

Answer 22

i think it's c?