Finding Extreme Values and Symmetry Using Vertex Form of Quadratic Functions

This video tutorial covers the vertex form of quadratic functions, explaining how to find extreme values and lines of symmetry. It reviews the three forms of quadratic functions: standard, vertex, and factored. The tutorial details the axis of symmetry and vertex, and provides a step-by-step guide to converting standard form to vertex form by completing the square. Finally, it demonstrates how to use the vertex form to determine extreme values and symmetry.

What is the axis of symmetry in a quadratic function?

• The line that is parallel to the x-axis

• The line that passes through the vertex

• The vertical line that divides the parabola in half

• The horizontal line that divides the parabola in half

Which of the following is NOT a form of a quadratic function?

• Linear form

• Vertex form

• Factored form

• Standard form

What is the first step in converting a quadratic equation from standard form to vertex form?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 1 from both sides

• Add 1 to both sides

In the process of completing the square, what do you do with the B term?

• Double it and add to both sides

• Take half of it, square it, and subtract from both sides

• Square it and subtract from both sides

• Take half of it, square it, and add to both sides

If the coefficient 'a' in a quadratic function is greater than 0, what does the vertex represent?

• A maximum point

• A saddle point

• A minimum point

• A point of inflection