how to find the minimum point of a quadratic graph

how to find the minimum point of a quadratic graph To find the maximum or minimum value of a quadratic function start with the general form of the function and combine any similar terms For example if you re starting with the function f x 3x 2x x 2 3x 2 4 you would combine the x 2 and x terms to simplify and end up with f x 2x 2 5x 4

In this video we learn to find the minimum or maximum values of quadratic functions If a parabola points up like a letter u the minimum is at the vertex The min value only occurs if the parabola opens up We discuss how to find if the parabola has a max or min value and how to calculate the value More Lessons

how to find the minimum point of a quadratic graph

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how to find the minimum point of a quadratic graph
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How To Find The Maximum Or Minimum Of A Quadratic Function Algebra
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Knowing that the vertex of a parabola is the lowest or highest point of the parabola gives us an easy way to determine the minimum or maximum value of a quadratic function The y coordinate of the vertex of the graph of a quadratic function is The turning point of a quadratic graph is its minimum point or its maximum point For example the graph below shows the quadratic y x 2 6x 5y x2 6x 5 Its minimum point is 3 4 3 4 It is the turning point of the graph

The graph of a quadratic function is a U shaped curve called a parabola One important feature of the graph is that it has an extreme point called the vertex If the parabola opens up the vertex represents the lowest point on the graph or the minimum value of the quadratic function How To Given an application involving revenue use a quadratic equation to find the maximum Write a quadratic equation for revenue Find the vertex of the quadratic equation Determine the y value of the vertex

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The graph of a quadratic function is a U shaped curve called a parabola One important feature of the graph is that it has an extreme point called the vertex If the parabola opens up the vertex represents the lowest point on the graph or the minimum value of the quadratic function In order to sketch the graph of the quadratic equation we follow these steps a Check if a 0 or a 0 to decide if it is U shaped or n shaped b The Vertex The x coordinate of the minimum point or maximum point is given by x b 2a which can be shown using completing the square method which we met earlier

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