Question

Analyze the graph of the cube root function shown on the right to determine the transformations of the parent function. Then, determine the values of a, h, and k in the general equation.
y = a RootIndex 3 StartRoot x minus h EndRoot + k


h =

k =

Answer 1

The value of the a, h, and k are 2, 1, and 4 respectively after applying the transformation.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

After analyzing the function, we can perform the transformation:

We have a parent function:

$\rm y = \sqrt[3]{x}$

First transformation:

Multiply by 2 functions will stretch by factor 2

$\rm y = 2\sqrt[3]{x}$

Second transformation:

x → (x-1)

$\rm y = 2\sqrt[3]{x-1}$

The function will shift right side by 1 unit.

Third transformation:

Add 4 to the function:

$\rm y = 2\sqrt[3]{x-1}+4$

It will shift up by 4 units.

Compare with the function:

$\rm y = a\sqrt[3]{x-h}+k$

a = 2, h = 1, and k = 4

Thus, the value of the a, h, and k are 2, 1, and 4 respectively after applying the transformation.

Learn more about the geometric transformation here:

brainly.com/question/16156895

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