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What is the parent Function?What transformations are taking place in this function/relation?

What is the parent Function?What transformations are taking place in this function-example-1
User Robertklep
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Step-by-step explanation

The given inequality function represents the function of a circle.

The parent inequality function for a circle is:


x^2+y^2\leq1^2

When a circle is transformed, it is transformed as follows:


(x-h)^2+(y-k)^2\leq r^2

where h represents a horizontal shift to the right

k represents a vertical shift up

r represents a dilation

For the given circle, we have that:


\begin{gathered} h=100 \\ k=60 \\ r=15 \end{gathered}

Hence, it was shifted 100 units to the right, 60 units up, and dilated by 15 units.

User Mulperi
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