Graphing Parabolic Functions

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Math › Graphing Parabolic Functions

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1

What is the minimal value of

over all real numbers?

No minimum value.

Explanation

Since this is an upwards-opening parabola, its minimum value will occur at the vertex. The -coordinate for the vertex of any parabola of the form

is at

So here,

We plug this value back into the equation of the parabola, to find the value of the function at this .

Thus the minimal value of the expression is .

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