Question

Can someone help me with this?

Answer 1

Move the given graph down three and for each x, make it go twice as high as it does not.

Answer 2

\(\large{ \textit{vertical shift downwards by 3 units}\\
\begin{array}{llll}
&&\downarrow \\
y=&2f(x)&-3\\
&\uparrow
\end{array}\\\textit{shrinks the graph by a factor of "2"}}\)

as already pointed out by Mertsj

Answer 3

what would that look like?

Answer 4

see where the vertex is ? do you know those coordinates?

Answer 5

2,4

Answer 6

so the vertex for 2f(x) -3 will be at ( 2, 2 * 4) or twice as much

Answer 7

so the vertex will be 2,8?

Answer 8

yeap

Answer 9

hmmmm

Answer 10

I kinda forgot about the -3

Answer 11

so after that, drop it by 3 vertically thata's where the vertex will end up after both transformations

Answer 12

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiItMmFicyh4LTIpKzQiLCJjb2xvciI6IiNFODEyMTIifSx7InR5cGUiOjAsImVxIjoiMigtMmFicyh4LTIpKzQpLTMiLCJjb2xvciI6IiMxRTE4RDkifSx7InR5cGUiOjEwMDAsIndpbmRvdyI6WyItOS4wOTk5OTk5OTk5OTk5OTgiLCIxMS4yMTI0OTk5OTk5OTk5OTkiLCItMy4xMzg3NDk5OTk5OTk5OTkiLCI5LjM2MTI0OTk5OTk5OTk5OCJdfV0- <----- see the shifts ?

it shrunk from the original by a factor of 2
then shifted down vertically by 3 units

Answer 13

so?

Answer 14

yeap

Answer 15

notice, it shrunk from the original by a factor of 2
then shifted down vertically by 3 units

Answer 16

thank you

Answer 17

yw