Vocabulary
Polynomials
Factoring
Quadratic Formula
Graphing!
100
How do you know when an equation is quadratic?
The highest degree in the function is 2 OR The graph is in the shape of a parabola
100
What do you call a polynomial with one term?
Monomial
100
Factor: x^2 + 13x + 22
(x + 2)(x + 11)
100
What is the quadratic formula?
(It's too complicated to write it in this game that doesn't have math type in it :-/ )
100
Name three essential points/locations you need to find when graphing a quadratic function
y-intercept, vertex, roots, axis of symmetry
200
Name three qualities of the vertex
1. In the center of the parabola 2. Where the graph changes direction 3. Can be a maximum or a minimum 4. Can be found with the formula ...
200
If a quadratic function is written in standard form, what kind of polynomial is it?
trinomial
200
Factor: x^2 + 14x + 45
(x + 9)(x + 5)
200
Which formula is located INSIDE the quadratic formula?
Formula for the axis of symmetry!
200
Find the vertex for the function y = x^2 + 6x - 1
(-3, -10)
300
Give two other names for the ROOTS of a quadratic function
x-intercepts OR solutions OR zeros
300
Multiply these terms and write them in standard form: (x + 9)(x - 11)
x^2 - 2x - 99
300
Factor: 3y^2 + 7y - 6
(y - 3)(3y + 2)
300
Solve using the quadratic formula:
(-4.550, 0) and (0.550, 0)
300
What are the vertex AND the y-intercepts for the function -4x^2 + 6x = 1. State if the vertex is the maximum or minimum.
Vertex: (.75, 1.25) y-intercept: (0,-1) Vertex is a MAXIMUM
400
Define factor
A term that when multiplied with another term produces a given number or expression.
400
Write the product in standard form: (y - 5)(y^2 + 3y - 2)
y^3 - 2y^2 + 13y - 10
400
Find the roots: t^2 - 6t - 27
(9, 0) and (-3, 0)
400
EVERYBODY PLAYS!! Find the roots using the quadratic formula: y = x^2 + 2x + 5
It can not be solved using real numbers!
400
EVERYBODY PLAYS!!! Graph the following function and label all essential points: 5x^2 + 10x -2 = y
Roots: (-2.183, 0) and (0.183, 0) Vertex: (-1, -7) (MINIMUM) Axis of symmetry: x = -1 y-intercept: (0, -2)
500
When would a quadratic function have ZERO roots. Describe it and sketch it on the board.
Peep the sketch. Is it right??
500
EVERYBODY PLAYS!!! Re-write this expression in the correct form: 5x^2 - 4x^3 + 9 - 8y + 14y^2 - 3
-4x^3 + 5x^2 + 14y^2 - 8y + 6
500
Find the roots by factoring: 10y^2 - 29y + 10
(0.4, 0) and (2.5, 0)
500
Solve using the quadratic formula: 4x^2 + 6x - 11 = y
(-2.57, 0) and (1.07, 0)
500
BLANK :-(
Try again!
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