When you make the circle bigger or smaller, which number of the standard equation for the circle centered at the origin changes?
a. the x coordinate
b. the y coordinate
c. the radius
d. the origin

Option (C) is correct,

when we make the circle bigger or smaller we will change its radius.

Step-by-step explanation:

 A circle with standard equation,   where (h, k) is the center and "r"  being the radius.

We have to determine out of given options which number of the standard equation for the circle centered at the origin changes when you make the circle bigger or smaller.

Given :  Circle centered at the origin then (h , k ) becomes (0, 0)

Thus, equation of circle becomes,

Substitute h = 0  and  k = 0  , we get,

Since, x and y coordinates depends on radius.

Thus when we make the circle bigger or smaller we will change its radius.

Thus, option (C) is correct,

answer: x=3 and y=4

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.