2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle. (x + 1)2 + (y - 2)2 = 36

Center:
Radius:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

the Center is: (-1,2)

and the radius is: = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

   AND    

         AND    

second sub x= -1 in the equation to find the values for y:

   AND    

         AND    

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

hi there!

the answer is: 2 and -2

step-by-step explanation:

case 1: an absolute value of positive number will still be a positive number

so absolute value of 2 is 2

case 2: an absolute value of negative number will be positive number so absolute value of -2 is 2

i think its 7.6

if so your welcome