A student graphed f(x)=x and g(x)=x+8 on the same coordinate grid. Which statement describes how the graphs of f and g are related? A. The graph of f is rotated about (0,1)
B. The graph of f is translated 8 units up to create the graph of g.
C. The graph of f is translated 8 units down to create the graph of g.
D. The graph of f is shifted 18 units up to create the graph of g.

Given:

The functions are

To find:

How the graphs of f and g are related.

Solution:

We have,

Using these functions, we get

                  ...(1)

The translation is defined as

               ... (2)

Where, a is horizontal shift and b is vertical shift.  

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

It means, the graph of f is translated 8 units up to create the graph of g.

Therefore, the correct option is B.

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet