Which statement best describes the relationship between the two figures?
a) figure pqrs is bigger than figure p'q'r's'.
b) figure pqrs is similar to figure p'q'r's'.
c) the measure of angle s is equal to the measure of angle q'.
d) the measure of angle s is equal to the measure of angle p'

Option B.

Step-by-step explanation:

In the graph attached, figure PQRS has been reflected by y-axis to form another figure P'Q'R'S'.

These figures will be similar as corresponding sides of figure PQRS and P'Q'R'S' are equal and equidistant from y - axis.

Therefore, from the given options, Option B). is the correct interpretation of relationship between the two figures.

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.