Let f(x) represent a function. Which descriptions match the given transformations? Drag and drop the answers into the boxes.

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JustYourAverageKid JustYourAverageKid · Answer 1 · 2018-10-25T10:18:08+02:00

The correct answers are:

1. f (x) is translated 4 units down.

2. f (x) is vertically stretched by a factor of 4.

I took the quiz and these were the right answers. Hope I helped! <3

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lublana lublana · Answer 2 · 2019-12-20T06:42:50+01:00

Answer:

[tex]f(x)-4\rightarrow[/tex] f(x) is translated 4 units down

[tex]4f(x)\rightarrow[/tex] f(x) is vertically stretched by a factor of 4

Step-by-step explanation:

We are given that a function f(x).

We have to match the given transformation with its correct descriptions.

We know that

When a function is translated 4 units up by the rule of transformation

is given by

[tex]f(x)\rightarrow f(x)+4[/tex]

When a function is translated 4 units left by the rule of transformation

is given by

[tex]f(x)\rightarrow f(x+4)[/tex]

When a function is vertically stretched by a factor of 4 then it is transformed by the rule is given by

[tex]f(x)\rightarrow 4f(x)[/tex]

When a function is translated 4 units right by the rule of transformation

is given by

[tex]f(x)\rightarrow f(x-4)[/tex]

When a function is translated 4 units down by the rule of transformation

is given by

[tex]f(x)\rightarrow f(x)-4[/tex]

When a function is vertically compressed by a factor of 4 then it is transformed by the rule is given by

[tex]f(x)\rightarrow \frac{1}{4}f(x)[/tex]

Therefore,[tex]f(x)-4\rightarrow[/tex] f(x) is translated 4 units down

[tex]4f(x)\rightarrow[/tex] f(x) is vertically stretched by a factor of 4