Which expression represents translating the graph of f(x) upward by k units?

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Prepare for the Algebra 1 Honors EOC Test with focused study materials, flashcards, and multiple-choice questions. Enhance your understanding and ensure your success.

Multiple Choice

Which expression represents translating the graph of f(x) upward by k units?

Explanation:
Shifting a graph up by a fixed number of units means every y-value increases by k. To do that with the function, you add k to the output: g(x) = f(x) + k. This raises the entire graph by k units without changing its shape. If you subtract k, it would move downward; multiplying by k changes the height scaling; and replacing x with x + k would shift the graph left. So the expression that moves the graph upward is g(x) = f(x) + k.

Shifting a graph up by a fixed number of units means every y-value increases by k. To do that with the function, you add k to the output: g(x) = f(x) + k. This raises the entire graph by k units without changing its shape. If you subtract k, it would move downward; multiplying by k changes the height scaling; and replacing x with x + k would shift the graph left. So the expression that moves the graph upward is g(x) = f(x) + k.

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