Answer:
Step-by-step explanation:
One graph will be 2 units higher up the y-axis than the other.
Answer:
See attachment
Step-by-step explanation:
The given function is
.
This rational function has a vertical asymptote at where the denominator is zero.
The denominator
when 
There is vertical asymptote at 
The horizontal asymptote for this rational function is given by the ratio of the leading coefficient of the numerator to the leading coefficient of the denominator.

The horizontal asymptote is 
The graph of this rational function is shown in the attachment
Answer:
18 feet in 20 minutes.
Step-by-step explanation:
To start to solve this problem, we need to know what vertex form is. The vertex form of a parabola is. The vertex form of a parabola is a(x-h) + k, where k is the vertical shift, h is the horizontal shift, and a is the value that tells the stretch.
To start to solve this equation, we want to start to create a difference of two squares.
y = 2(x²+
x) We do this step to make the x² have a coefficient of 1
Now, we want to complete the square. To complete the square, we take 1/2 of the coefficient of x, and then square that.
1/2 * 1/2 = 1/4, and 1/4²=1/16
That means that we need to add 1/16 inside and outside the parenthesis.
We get:
y = 2(x²+1/2x + 1/16) - 1/16*2
We do -1/16*2 on the outside because since we added it inside the parenthesis, we need to take it away somewhere else (if that makes sense). The two is there because there is a two in front of the parenthesis.
We get:
y = 2(x+1/4)² - 1/8, by completing the square and simplifying, and this is the final answer.
Answer:
1 replaces the question mark.
Step-by-step explanation:
5+8+7=20+1=21
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