I assume the equation described is:
( x + 6 ) / ( x^2 - 64 )
You can compare the degree of the numerator and denominator in a function that takes the form of this type of rational equation.
Here are the three rules
#1 (Correct Answer): When the degree of the numerator is smaller then the denominator the horizontal asymptote is y = 0
#2 If the degree of the numerator and denominator is the same, then you take the leading coefficient of the numerator (n) and denominator (d) to create the answer y = n / d in this equations case it would be 1 / 1 since variables technically have an invisible 1 in front of them since anything multiplied by 1 is its self, 1x = x
#3 When the degree of the numerator is greater then the degree of the denominator then this means that it does not have a horizontal asymptote.
Again the final answer is that the horizontal asymptote is y = 0
Answer:
The first one, the one with A' at -4,5
Step-by-step explanation:
To find which graph shows the translation you first find a point that is easy to follow, ideally one that is along an axis.
Point A would be easy to follow, since it's roughly at (0,3) initially.
Then we apply the translation. T (-4,2) means the X value is moved to the left, subtracted 4 units... while the Y value is moved up, adding 2 units.
So, the point A that was at (0,3) becomes A' at (0 - 4, 3 + 2), or (-4,5).
Answer:
The answer is B.
Step-by-step explanation:
Answer:
y = 2
Step-by-step explanation:
Use the slope formula so y2-y1/x2-x1 = -6/5
so -4 - y / -2 + 7 = -6/5 so y has to be 2 so that -4-2=-6
