If the graph of f(x) = 5x is shifted 8 units to the left, then what would be the equation of the new graph?
1 answer:
The equation of the new graph would be f(x+8) = 5x + 8
<u>Explanation:</u>
Given:
f(x) = 5x
Graph is shifted 8 units to the left
Points on the graph of y = f
(
x
) are of the form (
x
, f
(
x
)
)
To shift a function left, add inside the function's argument: f (x + b) gives f (x)shifted b units to the left.
Thus,
f(x+8) = 5x + 8
The equation of the new graph would be f(x+8) = 5x + 8
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