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The graph of f(x) was vertically translated down by a value of k to get the function g(x) = 5x + k. What is the value of k? A -7 B -6 C 5 D 7

The graph of fx was vertically translated down by a value of k to get the function gx 5x k What is the value of k A 7 B 6 C 5 D 7 class=

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Answer:

[tex]{\boxed{\text{A. }\math{k = -7}}[/tex]

Step-by-step explanation:

The general rule for vertical translation of a function ƒ(x) ⟶ ƒ(x) + k .

A positive value of k means that the graph is shifted up by k units.

The graph of ƒ(x) was shifted from (0, 1) to (0, -6).

[tex]\text{The graph was shifted down by seven units, so }{\boxed{\mathbf{k = -7}}[/tex]

The value of k is -7.

What is vertical translation of a function?

Vertical translation refers to the up or down movement of the graph of a function.

Here, the shape of the function remains the same.

It is also known as the movement/shifting of the graph along the y-axis.

In vertical translation, each point on the graph moves k units vertically and the graph is said to translated k units vertically.

The general rule for vertical translation of a function,

f(x)= g(x) + k .

here, the graph is shifted up by k units.

As, seen from the graph of g(x) is shifted from point (0, 1) to (0, -6).

Hence, the graph is shifted by -7 units.

Learn more about vertical translation  here:

https://brainly.com/question/25963507

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