Horizontal Translations 2

Quiz summary

0 of 4 questions completed

Questions:

–

You have already completed the quiz before. Hence you can not start it again.

Quiz is loading...

You must sign in or sign up to start the quiz.

You have to finish following quiz, to start this quiz:

Lets see your results!

Points

Score

Time

Retry Quiz

Question 1 of 4

1. Question
Sketch

`y=2^(x+2)`
Correct

Great Work!

Incorrect

Horizontal translations (shifts) of functions are written in the form `y=(x+ color(royalblue)(h))`.

`color(royalblue)(h)` is how many units right or left the graph will be shifted.

`(-h) \ bb(rarr)` Shift Right

`(+h) \ bb(larr)` Shift Left

To sketch `y=2^(x+color(royalblue)(2))`, draw `y=2^(x)` then translate (shift) the function.

Use a table of values to find at least four points on the function `y=2^x`.

`x` `-4` `-2` `-1` `0` `1` `2` `3`

`y` `1/2^4` `1/4` `1/2` `1` `2` `4` `8`

Sketch the graph of `y=2^x` using the table of values.

Translate the seven points to the left by `color(royalblue)(2)` units.

Sketch the graph of `y=2^(x+2)` by following the shape of the original graph but connecting the new translated points.
Question 2 of 4

2. Question
Sketch

`y=|x+4|`
Correct

Great Work!

Incorrect

Horizontal translations (shifts) of functions are written in the form `y=(x+ color(royalblue)(h))`.

`color(royalblue)(h)` is how many units right or left the graph will be shifted.

`(-h) \ bb(rarr)` Shift Right

`(+h) \ bb(larr)` Shift Left

To sketch `y=|x+color(royalblue)(4)|`, draw `y=|x|` then translate (shift) the function.

Use a table of values to find at least four points on the function `y=|x|`.

`x` `-3` `2` `-1` `0` `1` `2` `3`

`y` `3` `2` `1` `0` `1` `2` `3`

Sketch the graph of `y=|x|` using the table of values.

Translate the seven points to the left by `color(royalblue)(4)` units.

Sketch the graph of `y=|x+4|` by following the shape of the original graph but connecting the new translated points.
Question 3 of 4

3. Question
Sketch

`y=log(x+5)`
Correct

Great Work!

Incorrect

Horizontal translations (shifts) of functions are written in the form `y=(x+ color(royalblue)(h))`.

`color(royalblue)(h)` is how many units right or left the graph will be shifted.

`(-h) \ bb(rarr)` Shift Right

`(+h) \ bb(larr)` Shift Left

To sketch `y=log(x+ color(royalblue)(5))`, draw `y=logx` then translate (shift) the function.

Use a table of values to find at least four points on the function `y=logx`.

`x` `1/2` `1` `2` `3` `6` `8`

`y` `-0.3` `0` `0.3` `0.5` `0.8` `0.9`

Sketch the graph of `y=logx` using the table of values.

Translate the six points to the left by `color(royalblue)(5)` units.

Sketch the graph of `y=log(x+5)` by following the shape of the original graph but connecting the new translated points.
Question 4 of 4

4. Question
Sketch

`y=1/(x-3)`
Correct

Great Work!

Incorrect

Horizontal translations (shifts) of functions are written in the form `y=(x+ color(royalblue)(h))`.

`color(royalblue)(h)` is how many units right or left the graph will be shifted.

`(-h) \ bb(rarr)` Shift Right

`(+h) \ bb(larr)` Shift Left

To sketch `y=1/(x+ color(royalblue)(-3))`, draw `y=1/x` then translate (shift) the function.

Use a table of values to find at least four points on the function `y=1/x`.

`x` `-3` `-2` `-1` `1` `2` `3`

`y` `-1/3` `-1/2` `-1` `1` `1/2` `1/3`

Sketch the graph of `y=1/x` using the table of values.

Translate the six points to the right by `color(royalblue)(3)` units.

Sketch the graph of `y=1/(x-3)` by following the shape of the original graph but connecting the new translated points.

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Great Work!

2. Question

Great Work!

3. Question

Great Work!

4. Question

Great Work!

Quizzes

`x`	`-4`	`-2`	`-1`	`0`	`1`	`2`	`3`
`y`	`1/2^4`	`1/4`	`1/2`	`1`	`2`	`4`	`8`

`x`	`-3`	`2`	`-1`	`0`	`1`	`2`	`3`
`y`	`3`	`2`	`1`	`0`	`1`	`2`	`3`

`x`	`1/2`	`1`	`2`	`3`	`6`	`8`
`y`	`-0.3`	`0`	`0.3`	`0.5`	`0.8`	`0.9`

`x`	`-3`	`-2`	`-1`	`1`	`2`	`3`
`y`	`-1/3`	`-1/2`	`-1`	`1`	`1/2`	`1/3`