Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 5?
the graph shifts 7 units left.
the graph shifts 5 units left.
the graph shifts 2 units up.
the graph shifts 3 units up.

The  statement which best describes the effect of replacing the function f(x) with g(x) is:

               The graph shifts 7 units up.

The function f(x) is given by :

The function f(x) is a linear function with positive slope.

and the function g(x) is given by:

The function g(x) is a linear function with same positive slope.

Also, we know that any transformation of the type:

f(x) → f(x)+k

is a translation transformation such that it if k>0 then it is a shift k units upwards and if k<0 then it is a shift k units downward.

Here we have:

g(x)=2x+5-2+2

i.e.

g(x)=2x-2+7

i.e.

g(x)=f(x)+7

Hence, the function g(x) is a translation of the function f(x) 7 units upward.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

the answer is: the length is 5/6 yards.

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step-by-step explanation: