How do you determine the vertex and direction when given a quadratic function?
There are two forms a quadratic function could be written in: standard or vertex form. Here are the following ways you can determine the vertex and direction dependent on the form:
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To determine the vertex and direction of a quadratic function, you can use the vertex form of the equation, which is given as ( f(x) = a(x - h)^2 + k ), where ( (h, k) ) represents the coordinates of the vertex.
- The vertex ( (h, k) ) is obtained directly from the equation.
- The direction of the quadratic function (whether it opens upwards or downwards) depends on the coefficient ( a ) in the vertex form equation:
- If ( a > 0 ), the parabola opens upwards.
- If ( a < 0 ), the parabola opens downwards.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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