Write the equation in standard form and then find the center (h, k) and radius r of the circle. Be sure to show all answers.

x2+8x+y2+4y−5=0

The standard form equation is .

The center is and the radius is .

Step-by-step explanation:

The standard form of an equation of a circle is where is the center and the radius is .

To write the equation in the form of the standard circle equation you must:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.