Question

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.

Answer 1

(x, y) = (3, 8)

Explanation:

The graph for y is a translation upward 4 units of the graph of f(x).

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A point on the graph of f(x) is given as ...

(x, f(x)) = (3, f(3)) = (3, 4)

Then a point on the graph of y will be ...

(x, y) = (x, f(x) +4)) = (3, f(3)+4) = (3, 4 +4)

(x, y) = (3, 8)