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Factoring
Transformations
Quadratics
Graphing
Miscellaneous
100
What is the GCF of 2x + 4?
2
100
-f(x) is what type of transformation?
What is a reflection?
100
If given an equation of a quadratic function, how do you know whether a parabola opens up or down?
What is the sign of the leading coefficient
100
In the graph y = -2x^2 + 3x - 4 is the vertex a maximum or a minimum?
Maximum
100
What value completes the square for x^2 + 6x + 3?
9
200
Factor x^2 + 7x + 12
(x+3)(x+4)
200
f(x) + c is what type of transformation?
Vertical shift up c
200
What is the discriminant of the following quadratic function: y=2x²+3x+1
What is disc=1
200
What is the axis of symmetry in the function x^2-6x-3
x = 3
200
What is the inverse of y = 2x + 1
y = (x-1)/2
300
Factor 6x^2 - x - 12
(3x + 4)(2x - 3)
300
f(x - c) is what type of transformation?
Horizontal shift right c
300
What are the 3 possible outcomes of the discriminant and what do each of them tell you about the roots of a quadratic function?
What is If disc positive, 2 real roots. If disc=0, 1 real root. If disc negative, 2 imaginary/complex roots.
300
What is the vertex and axis of symmetry of (x + 2)^2 - 1?
Vertex: (-2, -1) Axis of symmetry: x = -2
300
What is f(g(x)) if f(x) = x + 1 and g(x) = 2x^2 + 3x
2x^2 + 3x +1
400
Complete the square for x^2 + 8x +15
(x + 4)^2 -1
400
What are the transformations on f(x) = -x^2 + 3
Reflection and a vertical shift up 3.
400
Find the roots of the following quadratic equation: y=x²+x-132
What is 11, -12
400
What is the direction, vertex, and axis of symmetry for the function x^2 + 4x + 1
Direction: up Vertex: (-2, -3) Axis: x = -2
400
What is (2 + 3i)( 3 - 4i)
18 + i
500
Complete the square for 2x^2 + 4x + 5
2(x + 1)^2 + 3
500
What are the transformations on the function -2(x + 4)^2 - 1?
Reflection, stretch of 2, horizontal shift left 4, vertical shift down 1
500
Find the vertex and zeros of the following equation y=2x^2-12x+20
What is V:3,2 Roots: 3+i 3-i
500
What is the direction, axis of symmetry, vertex, and zeros of the function x^2 + 4x -1
Direction: up Axis of symmetry: x = -2 Vertex: (-2, -5) Zeros:-2 + sqrt(5) and -2 - sqrt(5)
500
What is x^5 +2x^4 -3x^3 + 4x^2 - 5x + 6 divided by (x +3)
x^4 - x^3 + 4x - 17 + 56/(x + 3)