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Which of the following describes how the dotted line relates to the solid line (f(x))? A) reflection through the x-axis, f(x) → f(-x)B) reflection through the y-axis, f(x) → f(-x)C) reflection through the y-axis, f(x) → -f(x)D) reflection through the x-axis, f(x) → -f(x)

Which of the following describes how the dotted line relates to the solid line (f-example-1

2 Answers

7 votes

Answer:

B) reflection through the y-axis, f(x)→ f(-x)

Explanation:

User Spierepf
by
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2 votes

Answer:

Reflection through the y-axis, f(x) → f(-x). Option B is correct

Explanations:

Reflected images are mirror images of each other.

If the parent function f(x) is reflected over the y-axis, the resulting function will be f(-x). Note that only the x-values (dependent variable) are negated for a reflection over the y-axis.

From the given graph, you can see that both lines have equal but opposite slope and are mirror images of each other. Since the lines intersects along the y-axis, hence we can conclude that the description of how the dotted line relates to the solid line (f(x)) is reflection through the y-axis, f(x) → f(-x)

User Maheta Dhaval K
by
7.3k points