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| The Domain of a function is usually represented by? |
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The Range of a function is usally repesented by?
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| what does y = in a quadratic equcation? |
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| A graph of a Quadratic equation is a? |
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| U-shape graph called a parabola |
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In a quadratic equcation:
If "a" is positive, the parabola opens? |
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In a quadratic equation:
If "a" is negative the parabola opens? |
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In a quadratic equation:
as |a| increases the graph? |
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Definition
| gets narrower (stretches) |
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In a quadratic equation:
as |a| decreases and |a| < 1, the graph? |
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For a quadratic equation:
how do you find the x-intercepts of the graph |
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For a quadratic Equation:
how to you find the y-intercetps of a graph |
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Definition
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For a quadratic equation:
what is the formula axis of symmetry? |
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Definition
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| What is the quadratic formula? |
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Definition
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| When do you use the qudratic formula? |
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Definition
| when you can't factor a quadractic equation |
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| What is the vertex form of a quadratic equation? |
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Definition
y = a(x - h)2 + k
where (h,k) is the vertex of the parabola |
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To find the vertex of the equation
f(x) = ax2 + bx + c |
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Definition
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| What are the steps to graphing a quadartic function in standard form |
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Definition
1. find the vertex
[image]
2.Identify the axis of symmetry
3.Find the x-intercept by setting f(x) = 0
4. Find the y-intercept by setting x = 0
5. graph |
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What are the steps in graphing a function in the vertex form
f(x) = a(x - h)2 + k |
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Definition
1. Identify the vertex using the h and k
2. identify the axis of symmetry
3. fin the x-intercept by seting f(x) = 0
4. find the y-intercept by setting x = 0
5. graph |
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| When do real roots of a function occur |
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Definition
when f(x) = 0
When f(x) equals zero, the graph of the function touches or crosses the x-axis. The x-value(s) where the graph touches or crosses the axis are the real roots of the function. |
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| When are the roots of a function complexe? |
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Definition
| When f(x) does not equal zero |
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| How to find the minimum of a function in the vertex form |
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Definition
| if a>0 then the vertex has a minimum at k |
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| When determining the shape of the graph of a quadratic funchtion if "a" is positive then the graph.... |
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Definition
opens upwards and the graph of the function decreases on the interval (-[image], h) and
increases on the interval (h, [image]). |
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| When determining the shape of the graph of a quadratic function if "a" is negative then the graph.... |
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Definition
| opens downward, and the graph of the function decreases on the interval (h, [image]) and increases on the interval (-[image], h). |
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| When determining the shape of the graph of a quadratic funchtion if "a" is positive then the graph open up but the graph of the function deceases on what interval? |
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Definition
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| When determining the shape of the graph of a quadratic funchtion if "a" is positive then the graph open up but the graph of the function inceases on what interval? |
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Definition
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| When determining the shape of the graph of a quadratic funchtion if "a" is negative then the graph opens down but the graph of the function inceases on what interval? |
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Definition
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| When determining the shape of the graph of a quadratic funchtion if "a" is negative then the graph opens down but the graph of the function decreases on what interval? |
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Definition
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What is the formual for find "h" in the vertes (h,K)?
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| What is the formula for find "k" in the vertex (h,K) |
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