Question

Quadratic Functions Question:

Using the graph of f(x) = x2 as a guide, describe the transformations.
g(x) = (x - 3)2 + 2

answer choices:
g is f translated 3 units left and 2 units up
g is f translated 3 units right and 2 units up
g is f translated 3 units down and 2 units right
g is f translated 3 units up and 2 units left

Answer 1

\(\large {\textit{parent function }x^2\qquad \qquad
\begin{array}{rrllll}
&(x - 3)^2 &+ 2\\
&\ \uparrow\quad &\ \uparrow\\
&\textit{horizontal shift}&\textit{vertical shift}

\end{array}}\)

Answer 2

I don't understand

Answer 3

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiJ4XjIiLCJjb2xvciI6IiMwMDAwMDAifSx7InR5cGUiOjEwMDB9XQ-- <--- notice that graph

now rewrite it as (x-3)^2 then press Tab key
then rewrite it as (x-3)^2+2 then press Tab key

notice how it moves, or TRANSFORMS the original \(\bf x^2\)

Answer 4

\(\large {\textit{parent function }x^2\qquad \qquad
\begin{array}{rrllll}
&(x - 3)^2 &+ 2\\
&\ \uparrow\quad &\ \uparrow\\
&\textit{horizontal shift}&\textit{vertical shift}\\
&\textit{3 units to the right}&\textit{2 units up}\end{array}}\)

Answer 5

So three units right and 2 units up?

Answer 6

yeap

Answer 7

Thank you :)

Answer 8

yw