Analyze the graph below to identify the key features of the logarithmic function. Graph begins in the third quadrant near the line x equals negative 6 and increases rapidly while crossing the ordered pair negative 5, 0. The graph then begins to increase slowly throughout the second and first quadrants.

The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6.
The x‐intercept is y = −5, and the graph approaches a vertical asymptote at y = −6.
The x‐intercept is x = 5, and the graph approaches a vertical asymptote at x = 6.
The x‐intercept is y = 5, and the graph approaches a vertical asymptote at y = 6.

0.32

step-by-step explanation:

2.24/7

first one because it can't have a fraction in it

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.