| Quadratics | Polynomials | Rationals | Transformations | Random Review |
|---|---|---|---|---|
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ax^2
In the standard form of a quadratic function, what is the quadratic term?
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x = 3 and 4
What are the zeros?
f(x) = (x-3)(5x-20) |
x = 2
Identify the vertical asymptote(s):
f(x) = (3/(x-2)) + 4 |
Vertical
In a function in the form f(x) = a(x-h)+k, what kind of shift does "k" represent?
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Radicand
What is the term under the radical called?
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vertex = (6,-5)
Identify the coordinates of the vertex:
f(x) = 3(x-6)^2 - 5 |
Squiggle going up from left to right
What kind of shape does the graph of the function have (draw or describe)?
f(x) = 6x^5 + 4x - 3 |
x = (-∞,9)∪(9,∞)
Identify the domain:
f(x) = (3x-2)/(x-9) |
f(x) = (x^2)
What is the parent function of the function below?
f(x) = (x^4)+(3x^3)-2x |
(-∞,∞)
What is the domain of any quadratic function?
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(x-4)(x+4)
Factor: x^2 - 16
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y = [5, ∞)
DOUBLE POINTS!
Graph in your calculator and identify the range: f(x) = x^4 - 2x^2 + 6 |
If the solution results in a denominator that is undefined (denominator is zero)
In a rational function, what would automatically tell you if a solution is extraneous?
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Right 1 unit, up 2 units
Describe the translation of the function below in relation to its parent function.
f(x) = (x-1)^2 + 2 |
2nd - Trace - Minimum - Left Bound - Right Bound - Guess (enter)
How do you find the minima of a function in your calculator? Describe the buttons you would press, in order.
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2 real solutions
When using the quadratic formula, how many and what kind of solution(s) will you have when the discriminant is greater than zero?
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No, because there is a remainder (when dividing the function by x+2 or evaluating the function at x = -2)
Is (x+2) a factor of f(x) = 2x^3 - 4x + 12? Why?
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x = -4
Identify the holes:
f(x) = (x^2 + 6x + 8)/(x^2 + 3x - 4) |
Vertical reflection, vertical stretch
DOUBLE POINTS!
What kind of transformations does the "a" value in the function below result in? Hint: There are 2 transformations. f(x) = -2(x-5)^3 + 11 |
x = (-b±√(b^2 - 4ac))/2a
What is the quadratic formula?
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9
When using the "Completing the Square" method, what number would you add to both sides?
x^2 + 6x = 13 |
(5x+2)(2x+1)
Factor by grouping:
10x^2 + 5x +4 x + 2 |
x = 4
Solve for x:
5/x = (2x/4x) + (3/4) |
f(x) = -.5(x+3)^2+4
Write a function in the form f(x) = a(x-h)^2+k that has the transformations below:
- Vertex of (-3,4) - Vertical compression of .5 - Vertical reflection at y = 4 |
Decreasing, because the LC is negative. The graph is a squiggle sloping downwards.
Is the function below increasing, decreasing, or constant as x goes to ∞? How do you know?
f(x) = -6x^3 + 8x^2 - 14x +22 |
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