Determine whether the function is growth or decay AND its percentage of growth or decay.
y=4(9)^x

Growth, 800%

Step-by-step explanation:

9 > 1

So growth

9(4¹) = 36

(36-4)/4 × 100

= 800%

growth  800%

Step-by-step explanation:

y=4(9)^x

The equation is of the form

y =a b^x

b tells us growth or decay

b>1 growth

b<1 decay

This is growth

To find the percent growth take b-1

9-1 = 8

Change to a percent

800%

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.