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Write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.

User Bharath
by
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2 Answers

2 votes

Answer:


\huge\boxed{f(x - 2) = x + 6}

Explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x + n) - shift the graph n units to the left

f(x - n) - shift the graph n units to the right

===========================================

f(x) = x + 8

shift the graph 2 units to the right

f(x - 2) = (x - 2) + 8 = x - 2 + 8 = x + 6

User Matias Seguel
by
7.7k points
5 votes
y=f(x-2)+8

This has to do with function transformations. First we can set it up differently, where we are solving for y instead of f(x)
y=f(x)+8
The points of the graph are (x, f(x)+8)
To move the graph to the right, we need to subtract by 2 within the parentheses
y=f(x-2)+8
Now the point would be like (x, f(x-2)+8)
User Ishimwe
by
7.8k points

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