Parabolas!
The value that determines if a parabola opens up or down in standard form f(x) = a(x-h)^2+k.
What is a?
The mthod we must use to divide 2x^3+3x-5 by x^2+1.
What is polynmial long division?
What we know about c if it is a zero of a polynomial P(x).
What is a zero of P(x)?
The method we use to find the x an dy intercepts of a rational function.
What is plugging in 0 for x and 0 for y?
The value of log2(1/16).
What is -4?
The first step in taking the function 2x^2-16x+31 into standard form
What is factoring out 2 to get 2(x^2-8x)+31?
A quick method we can use to divide a polynomial by a linear factor.
What is synthetic divison?
The factored form of x^2+9
What is (x-3i)(x+3i)?
Where to find the vertical asyptotes of a rational function.
What is determining the zeors of the denominator?
The expansion of log(AB).
What is log(A) + log(B)?
The point (2, 1) on the graph of f(x) = -3(x-2)^2+1.
What is the maximum?
The method we use to check if something is an upper bound of zeros of a polynomial.
What is using synthetic divison to see if all of the result is positive?
The factored form of x^2+4x+5.
What is (x-(-2+i))(x-(-2-i))?
How to determine the horizontal asyptote of a rational function.
The combination of 2ln(A) -3ln(B).
What is ln(A^2/B^3)?
The value that we must add to complete the square in x^2-8x.
The method we use to check if something is a lower bound of the zeros of a polynomial.
What is synthetic divison to chekc if the result is alternating?
The first step is writing a polynomial of degree 2 with zeros 3 and -1.
What is f(x)=a(x-3)(x+1)?
The way to test the behavior of a function as it gets close to the number 2 from the left.
What is plugging in 1.9 to determine if the function is positive or negative to the left of 2?
The exponential function who passes through the point (3,27).
What is f(x) = 3^x?
The standard form of the function f(x) = 3x^2+6x+5
What is f(x) = 3(x+1)^2+2?
A zero of the polynomial x^3+4x^2+x-6.
What is -1, 2, or 3?
The first step is writing a polynomial of degree 3 with zeros 0 with multiplicity 1 and 4 with multiplicity 2.
What is f(x)=ax(x-4)^2?
The picture that represents showing a vertical asyptote at -1 that has the behavior that as x -> -1 of the left, y-> infinity and as x-> -1 on the right, y-> infinity.
The exponential function who passes through the point (-2, 16).
What is f(x) = (1/4)^x?