Write the standard equation for the circle.

center (10, –6), r = 6

a- (x + 10)² + (y – 6)² = 6

b- (x + 6)² + (y – 10)² = 36

c (x – 10)² + (y + 6)² = 36

d- (x – 10)² + (y + 6)² = 6

- C.

The standard equation for a circle is , where r is the radius and (a,b)= center of the circle such that a= abscissa and b= ordinate of center.

Given:- Center of circle=(10, –6) , radius r=6

Here abscissa of center a=10

ordinate of center b= -6

Substitute values of a, b and r in the standard equation of circle, we get

⇒ C is the correct answer.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.