Question

Can someone check my answer?
Find the equation for the graph.
The equation I got is y=2x^2

Answer 1

in the graph, at x=1
y=4

thats not true according to your equation

Answer 2

also, at x=0, y=2

Answer 3

thats an exponentially growing function
so try to make a function where exponent is 'x'

Answer 4

oh ok. Could you show me step by step? I learn that way a lot easier.

Answer 5

when
x= 0, y=2
x=1, y= 4
x=2, y=8
...

x= -1, y=1

Answer 6

that 2,4,8....sequence should remind you of \(2^n\) function

Answer 7

but in that n starts from 1
here, when x=1, y =4
2^2 is 4
so exponent must be x+1


\(\Large 2^{x+1}\)

Answer 8

oops I mean I got y=x^2

Answer 9

no...thats not an exponential function either

\(\large y= 2^{x+1}\)

Answer 10

is y=2(2)^x an exponent?

Answer 11

Sorry this is just confusing me haha.

Answer 12

yes

\(y = 2^{x+1} = 2 \times 2^x\)

Answer 13

Oh ok! so y=2(2)^x is the answer?

Answer 14

yup :)