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y = -2 f(3(x - 4)) - 1 Describe this transformation

The graph y = x^3 is compressed vertically by a factor of 1⁄2 , translated 4 units to the right, and translated 5 units upward.
Write the equation of the transformed function.

Respuesta :

MrRoyal

The equation of the transformed function is y = 1/2(x - 4)^3 + 5

How to describe the transformation?

The parent function is given as:

y = x^3

When the function is vertically compressed by 1/2, the rule is:

(x, y) ⇒ (x, 1/2y)

So, we have

y = 1/2x^3

When translated 4 units right, we have:

y = 1/2(x - 4)^3

When translated 5 units up, we have:

y = 1/2(x - 4)^3 + 5

Hence, the equation of the transformed function is y = 1/2(x - 4)^3 + 5

Read more about function transformation at:

https://brainly.com/question/3381225

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