Classifying/Basic Definitions
Vertex Form
Analyzing Quadratics
Dividing Polynomials
Finding zeros(x-intercept(s))
100
What family of functions does the following function belong in?
y = 2x2+5x-2
Quadratics
100
y = x 2 + 16x + 71
y = (x + 8) 2 + 7
100
Which way does the following parabola open? How do you know?
y=-3x2 + 5x - 2
Opens down, negative LC
100
(x2 - 7x - 11) ÷ (x - 8)
x + 1 - (3/x - 8)
100
y=x2-144
x=12, x=-12
200
What is the degree of the following function?
f(x) = -x3+5x-4x4+7x2-2
Four
200
y = x2 − 2x − 5
y = (x − 1)2 − 6
200
What is the vertex of the following parabola?
g(x) = 2(x - 3)2 - 6
(3, -6)
200
(x3 + 7x2 + 14x + 3) ÷ (x + 2)
x2 + 5x + 4 − [5/(x + 2)]
200
y=x2 -2x-35
x=7, x=-5
300
Is the following a polynomial? Explain your answer.
g(x) = 2x2-3x-1/2+5
No, because the second term has a negative fraction as an exponent.
300
y = x2 + 4x
y = (x + 2)2 − 4
300
What is the vertex and axis of symmetry of the following parabola?
y = -(x + 4)2 + 12
vertex (-4, 12)
AOS x = -4
300
(x3 − 2x2 − 4) ÷ (x − 2)
x2 + 2x + 2
300
y=2(x-2)2+9
none
400
What are the correct mathematical names for the different parts that make up a division problem? What would be the name for the 12, 2, and 6 in the following equation?
12/2 = 6
12 - Dividend
2 - Divisor
6 -Quotient
400
y = −x2 − 14x − 59
y = −(x + 7)2 − 10
400
What is the vertex, axis of symmetry, and max/min of the following parabola?
y = 5(x + 7)2 -2
vertex (-7, -2)
AOS x = -7
Min y = -2
400
(x4 − 13x − 42) ÷ (x2 − x − 6)
x2 + x + 7
400
y=-4(x+1)2+16
x=-3, x=1
500
What family of functions does the following function belong in?
y=-x4+12x
Quartic
500
y = -9x2 - 162x - 731
y = −9(x + 9)2 − 2
500
Decreasing: (-infinity, -1]
Increasing: [-1, infinity)
Min: y = 0
500
(3x4 + 9x3 − 5x2 − 6x + 2) ÷ (3x2 − 2)
x2 + 3x − 1
500
y=2x3+5x2+6x+15
x=-2.5