First of all we know the
Absolute Value Function that is:
This is called the
Parent Function <em>of the Absolute Value Function.</em>
From the equation:
The term:
means that the the Parent Function is <em>shifted</em>
two units <em>to the left</em>.
On the other hand, the term:
means that the function
is <em>shifted</em>
three units <em>downward. </em>So the result is the graph shown below
Interior angles of a square always sum to 360°. A reflection in the x-axis would not change this.
Answer:
The derivative of any constant number is 0.
So,
Differentiating with respect to "x",
d f(x)/dx
=d 25/dx
=0
Answer:
the 2nd one is correct
Step-by-step explanation:
Answer:
The partial fraction decomposition is 
.
Step-by-step explanation:
Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.
To find the partial fraction decomposition of 
:
First, the form of the partial fraction decomposition is
Write the right-hand side as a single fraction:
The denominators are equal, so we require the equality of the numerators:
Expand the right-hand side:
The coefficients near the like terms should be equal, so the following system is obtained:
Solving this system, we get that 
.
Therefore,
