A function f (x) is transferred from the parent function p (x) = |x| by a reflection over the x-axis, vertical stretched by a factor of 2.5 and shifted down 3 units. Write the equation for the function f (x)

Question

Colten Haney

Mathematics

10 May, 08:24

A function f (x) is transferred from the parent function p (x) = |x| by a reflection over the x-axis, vertical stretched by a factor of 2.5 and shifted down 3 units. Write the equation for the function f (x)

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Gauge Goodman · Answer 1

Refrection over the x-axis changes |x| to - |x|.

Vertical stretch by a factor of 2.5 changes the function to - 2.5|x|

Shifting the function down by 3 units changes the function to - 2.5|x| - 3

Therefore, f (x) = - 2.5|x| - 3