Determine the equation of the circle graphed below.

( please help me )

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: Find the centre

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : Find radius

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

Therefore ,

Step 3 : Equation of the circle

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

the answer to the expression is 83

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.