The parent function of the function represented in the table is
quadratic, linear ,exponential
If function f was translated down 4 units, the
f(x),x, x- and f(x)
-values would be
multiplied by 4 , increased by 4 ,decreased by 4 , divided by 4
A point in the table for the transformed function would be
(4,87) ,(3,29) ,(2,23) ,(1,52)

f(x)-values

decreased by 4

(4,87)

Step-by-step explanation:

The table shows the exponential growth function

substitute some values to find

Subtract these equations:

Divide them:

Then

Hence,

Therefore, the parent function is

If this function would be translated 4 units down, its expression will be

This means that f(x)-values decreased by 4.

Then the table for translated function is

The graph of translated function passes through the point (4,87)

is this part of a question or something

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west