Choose the best graph that represents the linear equation: -24y = 3x + 24

Please see attached graph

Step-by-step explanation:

You can analyse this line by understanding what are the line's x and y intercepts (where it crosses the x and the y axes). And then try to identify between any graph given, the one that has those two crossings (like the attached graph)

To find the point where the line crosses the x-axis, we find for which x-value, y becomes zero:

This means that the point where the line crosses the x axis is at (-8, 0) in the coordinate plane.

Now, to find where the line crosses the y axis (y intercept), we solve for y when x= zero:

Therefore the y-intercept is the point (0, -1)

By joining such two points, we find the line depicted in blue in the attached image. This is a line with negative slope.

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.