Parts of Quadratics
Solving
Factors
Transformation
100
To find the x-Intercepts, zeroes, or roots is to...
solve the equation.
100
Identify the solution(s) to the following function:
f(x) = x^2-121
{-11,11}
100
Given the graph, what are the factors that would represent the parabola?
(x-3)(x-6)
100
If f(x) = x2, and g(x) = x2+3, then g(x) ____________ f(x) ____________ by ____________.
vertically translates; up; 3.
200
What are A, B and C in this equation?
x^2+15x-7 =0
1, 15, -7
200
How many zeros are shown in this graph?
None
200
Given the zeros {-9,1/3}, what are the factors that would represent the quadratic
(x+9)(3x-1)
200
If f(x) = x2, and g(x) = 2x2, then g(x) is a ____________ of f(x) with scale factor ____________.
vertical stretch; 2.
300
The vertex can be either a ______ or ______.
a Maximum (highest) or a Minimum (lowest)
300
Using the quadratic formula determine the solutions to the quadratic.
y=-2x^{2}-2x+7
{(1+-sqrt15)/-2}
300
Given the graph, what are the factors that would represent the parabola?
(2x-3)(x-4)
300
If f(x) = x2, and g(x) = (-x-9)2, describe the combination of transformations from f(x) to g(x).
horizontal translation to the right by 9
reflection about the y-axis400
When the discriminant is negative, 0, or positive, the quadratic touches the x-axis ____, ____, and ____ time(s), respectively.
0, 1, 2
400
Using the quadratic formula determine the solution to the given quadratic.
6x^2-4x+3 = 0
None. The discriminant is negative.
400
Using the discriminant determine how many solutions the following quadratic has:
y=-16x^2 -2x-2
None. The discriminant is a negative number which is invalid and therefore results in no solutions.
400
If f(x) = x2, and g(x) = -(2x)2, describe the combination of transformations from f(x) to g(x).
horizontal stretch by a factor of 1/2
reflection about the x-axis
500
Describe the combination of transformations which transform
f(x) = x3 + x2 + x to
g(x) = 1/3 ( (2x + 6)3 + (2x + 6)2 + (2x + 6) )
Factor out the 2 first so 2x + 6 = 2(x + 3)
- Horizontal translation to the left by 3
- Horizontal stretch by a factor of 1/2
- Vertical stretch by a factor of 1/3