Question

Let f(x)=8x and g(x)=8x+5+1 .

Which transformations are needed to transform the graph of f(x) to the graph of g(x) ?

Select each correct answer.



horizontal translation 5 units right
vertical translation 1 unit up
vertical translation 1 unit down
horizontal translation 5 units left
horizontal translation 1 unit left
vertical translation 5 units up

Answer 1

The transformations are needed to transform the graph of f(x) to the graph of g(x) are:

vertical translation 1 unit up ⇒ 2nd answer

horizontal translation 5 units left ⇒ 4th answer

Step-by-step explanation:

Let us revise the translation:

• If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
• If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
• If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
• If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k  

∵ f(x) = 8x

∵ g(x) = (8x + 5) + 1

- From the notes above translation to the left h units added x by h

∵ 8x is added by 5

∴ f(x) translated 5 units to the left

- From the notes above translation up k units added f(x) by k

∵ f(x) is added by 1

∴ f(x) translated 1 unit up

The transformations are needed to transform the graph of f(x) to the graph of g(x) are:

vertical translation 1 unit up

horizontal translation 5 units left

Learn more:

You can learn more about translation in brainly.com/question/2451812

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Answer 2

the answers are

horizontal translation 5 units left

vertical translation 1 unit up

I failed lol :((