Term
| Equation of a Straight Line |
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Definition
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y = mx + b
m = slope
b = y-intercept
m>0: line rises
m<0: line falls
m=0: flat line
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[image] |
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Term
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Definition
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r2 = (x-a)2 + (y-b)2
y = (r2 - (x-a)2)1/2 + b
r = radius
a = center x-coordinate
b = center y-coordinate
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[image] |
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Term
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Definition
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y = a(x - x0)2
Each point is equidistant from a fixed point, the focus (x0, a/4), and given fixed line, the directrix.
a>0: "concave up"
a<0: "concave down"
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Term
| Equation of a Radical Function |
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Definition
y=√x ⇒ x=y2, so it looks like a parabola turned on end. The function is single-valued so we don't include the lower branch.
[image] |
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Term
| Definition of a Polynomial |
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Definition
f(x) = anxn + an-1xn-1 + ... + a1x + a0
A function with several terms containing powers of the same variable. E.g., ax2 + bx + c. |
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Term
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Definition
Definition: a function is rational if it can be expressed as f(x)=P(x)/Q(x), where P and Q are both polynomials of x and Q(x) ≠ 0.
Note: compare to a rational number x = p/q, where p and q are both integers. |
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