The illustration below shows the graph of y as a function of x.
Complete the following sentences based on the graph of the function.
(Enter the x-intercepts from least to greatest.)
• This is the graph of a
function
and 2 =
• The y-intercept of the graph is the function value y =
• The x-intercepts of the graph (in order from least to greatest) are located at x =
The greatest value of y is y 1. and it occurs when 2
• For x between 2 = 0 and x = 6, the function value y v 0.

answer by yourhope:

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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.