highskye1
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Explain how to rewrite the function shown in order to determine the transformation of the parent function. Then, describe the transformation of the graph compared to the parent function.
y=^3√-8x-4

Respuesta :

mergl
y=(-8x-4)^(1/3)
y=(x)^(1/3)
y=a*(b(x-c))^(1/3))+d
In this equation, a is equal to one and d is equal to 0, so the equation is reduced to y=(b(x-c))^(1/3). Here, you can see that the b value is equal to -8, which would leave a c value of (-1/2) according to the equation. 
This would mean that the transformations from y=x^(1/3) to the equation in the problem would include:
a horizontal shift of -1/2, or to the left of the y-axis by .5 units, 
a reflection across the x-axis, due to the negative b value,
and the b value of 8, ignoring the sign due to that demonstrating the reflection, would mean that it is horizontally compressed by 1/8.
abbyballadares0724

Answer:

Rewrite the equation by factoring –8 from the radicand and taking the cube root to get –2 in front of the radical symbol.

The graph is reflected over the x-axis.

The graph is also reflected over the y-axis.

The graph is vertically stretched by a factor of 2.

The graph is translated ½ unit to the left.

Step-by-step explanation:

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