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If the graph of f(x) = 4x is shifted 7 units to the left, then what would be the equation of the new graph?

User Kjetilh
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1 Answer

4 votes

Answer:

The equation will be f(x + 7) = 4(x+7)

Explanation:

At first we should know the rules of translation

1) {f(x) + a} is f(x) shifted up (a) units

2) {f(x) – a} is f(x) shifted down (a) units

3) {f(x + a)} is f(x) shifted left (a) units.

4) {f(x – a)} is f(x) shifted right (a) units.

So, for the given function: f(x) = 4x

When is shifted 7 units to the left, we should apply rule (3) where a = 7

f(x + 7) = 4(x+7) = 4x +28

Also, see the attached figure.

If the graph of f(x) = 4x is shifted 7 units to the left, then what would be the equation-example-1
User Simon Sanderson
by
8.4k points

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