The graph translated horizontally two units right, vertically four units down and reflected across x-axis from its parent function f (x) = x^2. What is the new equation?

Question

Mathematics

Rogelio Bowen

12 November, 12:47

The graph translated horizontally two units right, vertically four units down and reflected across x-axis from its parent function f (x) = x^2. What is the new equation?

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Answers (1)

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Yadiel Cisneros · Answer 1

Parent Function: f (x) = x^2

Right 2 units: f (x) = (x^2 - 2)

Down 4 units: f (x) = (x^2 - 2) - 4

Reflection over x-axis: f (x) = - (x^2 - 2) + 4

Answer: f (x) = - (x^2 - 2) + 4