Question

What is the graph of the function?

f(x) = 2x2
( I will attach pictures . ) *

I think its the 3rd graph , but i'm not sure ?

Answer 1

\[f(x) = 2x^2\] this is the question ?

Answer 2

f(x)=2x *squared*

Answer 3

ok .. why do you think that it is the 3rd graph ?

Answer 4

take for example x =0 .. what is the value of y in the graph
and what is the value of y in the equation ?

Answer 5

Isn't squared when you move up on a graph?

Answer 6

no .. we shift graphs upwards by adding a constant
i think the equation for the 3rd graph is
y = x^2 + 2

Answer 7

Oh , so my 2nd choice was the 4th ?

Answer 8

lets check : in the graph there is a point (2,2)

if we plug x = 2 into f(x) we get
f(2) = 2 * (2)^2 = 8
(2,8)

so no..

Answer 9

Well , It cant be the 2nd graph cause there's no negatives so it has to be the 1st . lol .

Answer 10

what do you mean by "no negatives" ?

Answer 11

look .. what you have to do is to look for points on the graph
and see if the points agree with the given equation

Answer 12

try to do it for the first graph please

Answer 13

Graph 2 is in the negative quadratic range? and the question has no negative numbers in it ?

Answer 14

ok , hold on .

Answer 15

tell me what kind of points you choose .. show your work

Answer 16

is (1,2) a right point ?

Answer 17

yes.. it is on the graph
now check what f(1) gives you

Answer 18

so it would be 2* (1)^2 ?

Answer 19

yes which is .. 2* (1 * 1) = 2 * 1 = 2

Answer 20

Yes , I see .

Answer 21

So , now what ?

Answer 22

so the point 1,2 satisfies the equation as well!
its good

Answer 23

since we could negate all the other graphs with points that the equation does not satisfies
this is the correct graph

Answer 24

So , its the 1st one ? I was rite the 3rd time hahaa !

Answer 25

Thank youu soooo much @Coolsector (;

Answer 26

yw.. how are you btw :) ?