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16 Cards in this Set
- Front
- Back
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What is the standard form for a parabola? |
y=ax²+bx+c |
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What is the value of c in y=8x²-5x+12 ? |
12 |
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What is the value of a in f(x)=19x²+x-7 ? |
19 |
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What is the vertex form? |
y = a(x-h)²+k |
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intercept |
the point at which a line intercepts the x- or y-axis |
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What is the factored form of a parabola? |
y=a(x-p)(x-q) NOTE: also could be called the intercept form |
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What is the vertex of a parabola |
the point on a parabola that is the maximum or minimum |
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What is the Axis of Symmetry for a Parabola |
the line of symmetry that passes through the vertex
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What are the x-intercepts in the equation y=10(x-4)(x+9) |
The x-intercepts are (4,0) and (-9,0) |
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Does the parabola described by y=10(x-4)(x+9) open up or down? |
This parabola would open up (which means this parabola has a minimum) |
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If the x-intercepts are at 4 and - 10, where would the Axis of Symmetry be? |
The Axis of Symmetry would be located at x= -3 |
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Where is the vertex located for the parabola described by f(x) = -7(x+6)² +14 ? |
The vertex would by located at (-6,14). |
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What is the value of the vertex for the quadratic f(x)= - x²+7x-3 ? |
The value of the vertex for f(x)= - x²+7x-3 is found by using x= -b/2a. So x= 3.5 |
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Does the parabola described by f(x)= - x²+7x-3 have a maximum or a minimum? |
The parabola described by f(x)= - x²+7x-3 opens down because the value of a is -1. This means the parabola has a maximum. |
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Does the parabola described by y=4(x-3)² - 5 open up or down? |
The parabola described by y=4(x-3)² - 5 opens up. (This means it will have a minimum!) |
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The highest point of a parabola is called the __________________. |
maximum |
