Write an exponential function for a graph that passes through the points (2,16) and (3,32).

Step-by-step explanation:

The general form for an exponential function is

When x = 2,  y = 16    So,    

and when x = 3,  y = 32    So,

Divide  

2 = b

Now,

16 = 4k

k = 4

Therefore, the exponential function is

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .