Question

need help :(
@Data_LG2
I got D.

Answer 1

A vertical translation is a change in y.
Replace y by y - k, where k is up for a positive k and down for a negative k.

Answer 2

In this case, you need 3 units down.
That means k = -3.
That means y - k = y - (-3) = y + 3.

Replace y with y + 3.

Answer 3

How's it C? It said 3 units down? :/

Answer 4

\(\LARGE y= \color{blue}{a}f(\color{red}{k}(x-\color{green}{d}))+\color{orange}{c}\)

you already have \(y=\frac{2}{5}|x|+11\).
Focus on \(\LARGE \color{orange}{c}=11\), since this identifies the vertical translation. You have to translate it 3 units down.
so what will you do to the value of "C" in order to translate it down?

Answer 5

Who said answer is C?

\(y = \dfrac{2}{5}|x| + 11 \)

y is replaced by y + 3:

\(y + 3= \dfrac{2}{5}|x| + 11 \)

\(y = \dfrac{2}{5}|x| + 8 \)

Answer 6

:( oh... it's A?
@mathstudent55

Answer 7

yes

Answer 8

Thank you for your explanation .

Answer 9

You're welcome.