Which of the following transformations would result in a vertical shift of the g

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Question: Which of the following transformations would result in a vertical shift of the graph of the function f(x)?

Options:

Correct Answer: f(x) + k

Solution:

Adding a constant k to the function f(x) results in a vertical shift of the graph.

Which of the following transformations would result in a vertical shift of the graph of the function f(x)?

Which of the following transformations would result in a vertical shift of the graph of the function f(x)?

Step 1: Understand what a vertical shift means. A vertical shift moves the graph up or down without changing its shape.
Step 2: Identify the function f(x) that you are working with.
Step 3: Recognize that adding a constant number (k) to the function f(x) changes its output values.
Step 4: If you add a positive number (k) to f(x), the graph shifts up.
Step 5: If you add a negative number (k), the graph shifts down.
Step 6: Conclude that adding a constant k to f(x) results in a vertical shift of the graph.

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