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Suppose f(3) = 4. Name a point that must be on the graph of y=f(x)+4.

Enter your answer as an ordered pair.

Sagot :

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)

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