Chapter 9.7, Problem 42PPS

To determine

To find: The set of equations for this logo.

Answer to Problem 42PPS

The set of equations for this logo are $x^2+y^2=169$ , $y=\left|x+5\right|-12$ and $y=\left|x-5\right|-12$

Explanation of Solution

Given:

The logo is given.

Calculation:

The logo contains the circle, so the equation is,

  $x^2+y^2=169$

The parent equation is written as,

  $\begin{array}{c}y=\left|x\right|\\ =\left|x+h\right|+k\end{array}$

The circle passes through (5,-12) and (-5,-12)

So,

  $y=\left|x+5\right|-12$

  $y=\left|x-5\right|-12$

Thus, the set of equations for this logo are $x^2+y^2=169$ , $y=\left|x+5\right|-12$ and $y=\left|x-5\right|-12$