Question

Below is the graph of the parent function, G(x) = x^2. List the transformations you must perfom o G(x) to get the graph of C(t).

Answer 1

The Graph for C(t)?

Answer 2

C(t) = -0.30 (t-12)^2 +40
@nubeer

Answer 3

have u drawn the graph for this function?

Answer 4

no

Answer 5

am i gonna draw a graph for C(t)??

Answer 6

yes u have to otherwise how would you determine what transformations have to be applied on G(x) in order to convert it into C(t)

Answer 7

ok

Answer 8

it would look something like this.

Answer 9

so in the x-axis im gonna put +12 and on he y-axis is up 40

Answer 10

am i right?

Answer 11

yes u can start like this

Answer 12

you can put C(t)=0.. and then solve it.
you have to put a few points in the equation in order to get a rough shape

Answer 13

ok

Answer 14

i got C(0)= -3.2

Answer 15

yes.. now put another few points like C(2) , C(4), C(8).. then plot the points on the graph

Answer 16

where should i put the answers on the x axis? right

Answer 17

@nubeer