Answer: 
Concept:
In a function f(x), it represents a function in terms of x or for x. Therefore, to find the values in the function, substitute values within the parenthesis to solve.
Solve:
<u>Given information</u>

<u>Need to find</u>

<u>Substitute (x + 4) to the position of x</u>

<u>Distributive property on the numerator</u>

<u>Combine like terms</u>


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Answer:
B) y = x + 2 and y = -x - 4
Step-by-step explanation:
Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be

The line with positive slope has x-intercept a=-2 and y-intercept b=2.
Its equation is:

Multiply through by 2

Solve for y,

For the line with a negative slope,
the x-intercept is a=-4 and the y-intercept is b=-4
Its equation is

Multiply through by -4

Solve for y

Answer:
B. 
Step-by-step explanation:
GIven that
and
, and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:

The location of B is now determined after algebraic handling:


Then:




Which corresponds to option B.
Answer:
(-3,5)
Step-by-step explanation:
If the slope of y=x is 1, then you have to reflect over that line with a negative slope. It should reflect over to be (-3,5).