Question

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

Answer 1

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.