Term
What key characteristic represents when an object is on the ground as it relates to the graphical representation for a quadratic function? |
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Definition
The x-coordinate for the roots, zeros or x-intercepts. |
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Term
What key characteristic represents when an object reaches the maximum height as it relates to the graphical representation for a quadratic function? |
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Definition
The x-coordinate for the vertex or
the x value for the axis of symmetry. |
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Term
What key characteristic represents the maximum height of an object as it relates to the graphical representation for a quadratic function? |
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Definition
The y-coordinate for the vertex |
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Term
What key characteristic represents where the beginning height of an object is before it is dropped or thrown as it relates to the graphical representation for a quadratic function? |
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Definition
The y-coordinate for the y-intercept. |
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Term
What key characteristic represents the starting time of an object before it is dropped or thrown as it relates to the graphical representation for a quadratic function? |
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Definition
The x-coordinate for the y-intercept.
Starting time = 0 seconds |
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Term
How do you find the x-coordinate for the vertex of a quadratic if the quadratic is factorable? |
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Definition
After factoring the quadratic and solving for the roots, average the roots to find the midpoint between them. |
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Term
How do you find the x-coordinate for the vertex of a quadratic if the quadratic is not factorable? |
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Definition
To find the x-coordinate you would need to solve x = -b/2a to obtain the x-coordinate for the vertex. |
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Term
How do you find the discriminant? |
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Definition
For a quadratic in standard form you simplify
b2 - 4ac |
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Term
What two pieces of information does
the discriminant provide? |
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Definition
If the discriminant is a perfect square the quadratic equation is factorable.
If the discriminant is positive there are two real roots.
If the discriminant is zero there is one repeated root (still two roots).
If the discriminant is negative there are two imaginary roots. |
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Term
How do you find the roots of a quadratic if you cannot factor the quadratic? |
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Definition
Use the quadratic formula to find the roots, zeros,
x-intercepts, which are also the solutions for the equation. |
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