Vertical Translations (Shifts) from a Point

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Question 1 of 3

1. Question
Translate (shift) the point `(4,-1)` down by `5` units.
- `(4,-6)`
- `(4,4)`
- `(-1,-1)`
- `(9,-1)`
Correct

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Incorrect

Vertical translations (shifts) of functions are written in the form `y=f(x)+color(royalblue)(c)`.

`color(royalblue)(c)` is how many units up or down the graph will be shifted.

`(-c) \ bb(darr)` Shift Down

`(+c) \ bb(uarr)` Shift Up

To translate (shift) the point `(4,-1)` down by `5` units, subtract `5` from the `y` coordinate.

`(4,-1)` Subtract `5` from the `y` coordinate. Remember `(x,y)`.

`=` `(4,-1-5)` Simplify

`=` `(4,-6)`

`(4,-6)`
Question 2 of 3

2. Question
Translate (shift) the point `(4,-1)` up by `7` units.
- `(4,6)`
- `(4,-8)`
- `(11,-1)`
- `(-3,-1)`
Correct

Great Work!

Incorrect

Vertical translations (shifts) of functions are written in the form `y=f(x)+color(royalblue)(c)`.

`color(royalblue)(c)` is how many units up or down the graph will be shifted.

`(-c) \ bb(darr)` Shift Down

`(+c) \ bb(uarr)` Shift Up

To translate (shift) the point `(4,-1)` up by `7` units, add `7` to the `y` coordinate.

`(4,-1)` Add `7` to the `y` coordinate. Remember `(x,y)`.

`=` `(4,-1+7)` Simplify

`=` `(4,6)`

`(4,6)`
Question 3 of 3

3. Question
Translate (shift) the point `(2,-4)` up by `3` units.
- `(2,-1)`
- `(2,-7)`
- `(2,7)`
- `(2,1)`
Correct

Great Work!

Incorrect

Vertical translations (shifts) of functions are written in the form `y=f(x)+color(royalblue)(c)`.

`color(royalblue)(c)` is how many units up or down the graph will be shifted.

`(-c) \ bb(darr)` Shift Down

`(+c) \ bb(uarr)` Shift Up

To translate (shift) the point `(2,-4)` up by `3` units, add `3` to the `y` coordinate.

`(2,-4)` Add `3` to the `3` coordinate. Remember `(x,y)`.

`=` `(2,-4+3)` Simplify

`=` `(2,-1)`

`(2,-1)`

Vertical Translations (Shifts) from a Point

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2. Question

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Quizzes

	`(4,-1)`	Subtract `5` from the `y` coordinate. Remember `(x,y)`.
`=`	`(4,-1-5)`	Simplify
`=`	`(4,-6)`

	`(4,-1)`	Add `7` to the `y` coordinate. Remember `(x,y)`.
`=`	`(4,-1+7)`	Simplify
`=`	`(4,6)`

	`(2,-4)`	Add `3` to the `3` coordinate. Remember `(x,y)`.
`=`	`(2,-4+3)`	Simplify
`=`	`(2,-1)`