The point at which y must be on the graph y = f(x) + 4 that showcases the translation is (x, y) = (3, 8)
What is the translation of a graph?
The translation of a graph is the movement of the graph in a straight direction of the +ve or -ve vertical axis or horizontal axis.
From the given information:
For y, the graph implies a translation upward of 4 units in the upward vertical direction relative to the graph of f(x).
A point on the graph of f(x) will be (x, f(x)))
where:
- (x, f(x)) = (3, f(3)) = (3, 4)
Then a point on the graph of y will be:
(x, y) = (x, f(x) +4))
(x, y) = (3, f(3)+4)
(x, y) = (3, 4 +4)
(x, y) = (3, 8)
Learn more about the translation of a graph here:
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