If f (x) = x^2 is reflected over the x-axis and the shifted 4 units down, what is the equation of the new function, g (x) ?

Question

Mathematics

Damon Jimenez

25 November, 09:50

If f (x) = x^2 is reflected over the x-axis and the shifted 4 units down, what is the equation of the new function, g (x) ?

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Answers (1)

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Raul Pham · Answer 1

g (x) = - x² - 4

Step-by-step explanation:

In this case, we are only changing a (reflection and vertical shrink/stretch) and k (vertical movement)

k = - 4 because we are moving 4 units down

a = - 1 because we are just reflecting over the x-axis