Let g (x) be the reflection of f (x) = x² + 5 in the x-axis. What is a function rule for g (x) ?

Question

Kaufman

Mathematics

4 September, 19:50

Let g (x) be the reflection of f (x) = x² + 5 in the x-axis. What is a function rule for g (x) ?

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Chace Griffith · Answer 1

Here, f (x) = (x^2) + 5. The graph of this function will be a parabola and lie on the positive y-axis. Because, both x^2 and 5 are positive and the result is positive. But, of g (x) is the reflection of f (x) mean g (x) = - f (x) = - { (x^2) + 5} = - (x^2) - 5. now, the graph of g (x) will lie on the negative x-axis.