Answer:
(x + 1)² + (y - 1)² = 1.5625
Step-by-step explanation:
From the picture we see:
The radius is 5 units. Each unit is .25 so the radius is 1.25.
The centre or middle M= ( -1, 1 )
Circle with centre M and radius r :
(x - xM)² + (y - yM)² = r²
xM = -1
yM = 1
r = 1.25
(x - (-1))² + (y - 1)² = (1.25)²
(x + 1)² + (y - 1)² = 1.5625
One of the product rules for exponents was used.

Or, you can consider that the definition of an exponent and the associative and commutative properties of multiplication were used.
Answer:
To graph (like the provided picture) you must understand y=mx+b. Your m would stand for your slope which you need to determine with rise over run. Rise over run can be done by finding a place where both the x and y values are lined up. (0,-2) can be used as an example from the picture. You then want to find the next point where the x and y values line up which (-2,1) can be used. Go up 3 units and go to the LEFT 2 times which makes this a negative run. The slope would then be represented as -3/2.
Your x value stands for your x-value moving up or down while you b value stands for your y-intercept which point (0,-2) is represented as. Y represents the y value after the equation is plugged in with x and solved.
I think that person above me should be your answer