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| Vertex form of a quadratic equation |
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Definition
y=a(x-h)2+k
Can be used to find the equation of a parabola given the vertex. |
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| Intercept form of a quadratic equation |
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Definition
y=a(x-p)(x-q)
used to find a quadratic equation given two x intercepts |
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Equation of an ellipse
Major axis:Vertical
Vertices: (0,a) (0,-a)
Co-vertices: (b,0) (-b,0) |
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Equation of an Ellipse
Major axis horizontal
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| Equation of a hyperbola with horizontal transverse axis |
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| Equation of a hyperbola with vertical transverse axis |
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Definition
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Equation of a hyperbola. Relate a (vertex), b, and c (foci).
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x2=4py, p>0
which way does the parabola open
what are the focus and directrix |
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Definition
parabola opens up
focus (0,p)
directrix y=-p |
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opens up or down
focus (0,p)
directrix y=-p |
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opens right/left
focus (p,0)
directrix x=-p |
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Definition
21
34
Labeled counter clockwise |
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f(x)=logbx
domain
range
vertical asymptote |
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Definition
domain: x>0
range: R
vertical asymptote: x=0 AKA y-axis |
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| Exponential form of logbx=y |
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| General 2nd degree equation that applies to all conic sections |
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| Discriminant of an ellipse |
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B2-4AC<0
B does not equal 0
or
A does not equal C |
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| Discriminant of a parabola |
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| Discriminant of a Hyperbola |
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| Standard form of a linear equation |
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| how do you solve logbx on the calculator? |
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| What do you do when you multiply or divide an inequality by a negative number? |
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| reverse the inequality signs |
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| What is the answer to the handshake problem? |
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| focus and directrix of (y-k)2=4a(x-h)2 |
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focus: (h+a, k)
directrix: x = h-a |
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| inverse/indirect variation |
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