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In this lesson, we will learn how to write a quadratic function in vertex form.

Q1:

Rewrite the expression π₯ + 1 4 π₯ 2 in the form ( π₯ + π ) + π 2 .

What is the minimum value of the function π ( π₯ ) = π₯ + 1 4 π₯ 2 ?

Q2:

If the area included between the curve of a quadratic function and a horizontal line segment joining any two points lying on it, as shown in the figure below, is calculated by the relation π = 2 3 π π§ , find the area of the figure included between the π₯ -axis and the curve of the quadratic function π ( π₯ ) = π₯ β 1 2 π₯ + 3 2 2 in square units.

Q3:

Rewrite the expression 4 π₯ β 1 2 π₯ + 1 3 2 in the form π ( π₯ + π ) + π 2 .

What is the minimum value of the function π ( π₯ ) = 4 π₯ β 1 2 π₯ + 1 3 2 ?

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