How do i find the rise over run

rise over run is 1/4

Step-by-step explanation:

Here, we want to calculate the ratio of the rise to the run

Mathematically, this is simply referring to the slope

To get the slope, we need to select any two points and then apply the slope formula

The two points selected are;

(8,-6) and (-4,-9)

The slope formula is;

m = (y2-y1)/(x2-x1) = (-9 -(-6))/(-4-8) = -3/-12 = 1/4

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.