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If x2 is negative it will have a maximum value

If x2 is positive it will have a minimum value

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Q: How do you determine if the graph of a quadratic function has a min or max from its equation?
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Related questions

The graph of a quadratic equation is called a?

The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.


What is the graph for quadratic equation?

the graph for a quadratic equation ct5r


How are the real solutions of a quadratic equation related to the graph of the quadratic function?

The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.


What is a parabola the graph of?

It is the graph of a quadratic equation of the formy = ax^2 + bx + c


What determines whether the graph of the quadratic function will open upward or downward?

The slope of your quadratic equation in general form or standard form.


What shape does the quadratic graph make?

The graph of a quadratic equation has the shape of a parabola.


What is the graph called of a quardic equation?

The graph of a quadratic equation is a parabola


What is a quadratic equation when graphed?

The graph (on Cartesian coordinates) of a quadratic equation is a parabola.


What do you call the graph of a quadratic function?

the graph of a quadratic function is a parabola. hope this helps xP


What is the difference between a linear function and a quadratic equation?

A linear equation describes a line like 2x+1=y. If you were to graph that equation, then it would give you a line. A quadratic equation is like x^2+2x+1=y. Graphing this equation would give you a U shaped graph called a parabola.


How aerospace engineers use the quadratic equation?

The quadratic equation is used to find the intercepts of a function (F(x)=x^(2*n), n being an even number) along its primary axis (typically the x axis). Many equations follow this form. The information given by the quadratic equation depends on what your function is pertaining to. If say you have a velocity vs time graph, when the function crosses the xaxis your particle has changed from a positive velocity to a negative velocity. This information can be useful to determine the accompanying behavior of your position. The quadratic equation is simply a tool to find intercepts of a function.


What does the rule for a quadratic function tell you about how the graph of the function will look?

If the quadratic function is written as ax2 + bx + c then if a > 0 the function is cup shaped and if a < 0 it is cap shaped. (if a = 0 it is not a quadratic) if b2 > 4ac then the equation crosses the x-axis twice. if b2 = 4ac then the equation touches the x-axis (is a tangent to it). if b2 < 4ac then the equation does not cross the x-axis.