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Pre-Calc Summer Packet Test Review
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Terms in this set (14)
What is "a" in cubic factoring difference of cubes?
Cube of first term
What is "b" in cubic factoring difference of cubes?
Cube of second term
When the two terms are added, what is the formula for cubic factoring difference of cubes?
(a+b)(a^2-ab+b^2)
When the two terms are subtracted, what is the formula for cubic factoring difference of cubes?
(a-b)(a^2+ab+b^2)
What is (3x)^2?
9x^2
How to find vertical asymptotes
Set denominator equal to zero and solve
How to find horizontal asymptote if both polynomials (numerator & denominator) are the same degree?
Divide the coefficients of the highest degree terms
How to find horizontal asymptote if the numerator is a lower degree than the denominator
X-axis
How to find the horizontal asymptote if the numerator is a higher degree than the denominator
No horizontal asymptote, but there is a slant/oblique asymptote
How to find a slant/oblique asymptote
Divide the numerator by the denominator
Transformations... What does "A" do?
f(x) = A ( x/c - h)2 + K
Vertical scaling
-A>1 = stretch
-0<A<1 = compress
-A<0 = reflect over x-axis
Transformations... What does "c" do?
f(x) = A ( x/c - h)2 + K
Horizontal scaling
-c>1 = compress
-0<c<1 = stretch
-C<0 = reflect across y-axis
Transformations... What does "h" do?
f(x) = A ( x/c - h)2 + K
Horizontal translation
-h>0 = to the right (+x)
-h<0 = to the left (-x)
Transformations... What does "K" do?
f(x) = A ( x/c - h)2 + K
Vertical translation
-K>0 = upward (+y)
-K<0 = downward (-y)
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