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

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $9.99Unlock all

Study for the Algebra 1 Honors End-of-Course Test. Study with flashcards and multiple-choice questions, each question has hints and explanations. Get ready for your exam!

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.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy