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Helen [10]
3 years ago
14

How do you find the minimum value of a quadratic function?

Mathematics
1 answer:
aniked [119]3 years ago
6 0

The minimum value of a function is the place where the graph has a vertex at its lowest point.

There are two methods for determining the minimum value of a quadratic equation. Each of them can be useful in determining the minimum.

(1) By plotting graph

We can find the minimum value visually by graphing the equation and finding the minimum point on the graph. The y-value of the vertex of the graph will be the minimum.

(2) By solving equation

The second way to find the minimum value comes when we have the equation y = ax² + bx + c.

If our equation is in the form y = ax^2 + bx + c, you can find the minimum by using the equation min = c - b²/4a.

The first step is to determine whether your equation gives a maximum or minimum. This can be done by looking at the x² term.

If this term is positive, the vertex point will be a minimum; if it is negative, the vertex will be a maximum.

After determining that we actually will have a minimum point, use the equation to find it.

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Answer:

<h3>Two of the sides of triangle KNM are the equal</h3>

Step-by-step explanation:

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An isosceles triangle is a triangle that has two of its angles and sides to be equal.

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Answer:

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Step-by-step explanation:

Given:

A pet supply chain called Pet City has 5 hamsters and 10 gerbils for sale at its Lanberry location.

At its Milford location, there are 13 hamsters and 16 gerbils.

Now, to find the location who has a higher ratio of hamsters to gerbils.

Ratio of hamsters to gerbils at Lanberry location = 5:10.

=\frac{5}{10}=0.50

                                                                         

Ratio of hamsters to gerbils at Milford location= 13:16.

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<em>So, 0.8125 > 0.50.</em>

<em>Thus, </em><u><em>13:16 > 5:10.</em></u><em> </em>

Therefore, Milford location has a higher ratio of hamsters to gerbils.

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