Let g (x) be the reflection of f (x) = x^2 + 3 in the x-axis. What is the function rule for g (x) ? Question 1 options: A. g (x) = - x^2 - 3 B. g (x) = - x^2 + 3 C. g (x) = x2 - 3 D. g (x) = x^2 + 3

Question

Mathematics

Mohammed

4 December, 03:40

Let g (x) be the reflection of f (x) = x^2 + 3 in the x-axis. What is the function rule for g (x) ? Question 1 options: A. g (x) = - x^2 - 3 B. g (x) = - x^2 + 3 C. g (x) = x2 - 3 D. g (x) = x^2 + 3

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Answers (1)

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Konner Nelson · Answer 1

g (x) = - x^2 - 3

Step-by-step explanation:

The function f (x) = x^2 + 3 represents a parabola which opens up and has its vertex at (0,3). Reflecting this graph in the x-axis results in a parabola that opens down and has its vertex at (0,-3). Answer Option A is correct.