Finding Extreme Values and Symmetry using Vertex Form of Quadratic Functions

This video tutorial covers solving quadratic problems when the coefficient a is greater than one. It reviews the three forms of quadratic functions: standard, vertex, and factored. The tutorial explains the axis of symmetry and vertex, and demonstrates how to complete the square to convert quadratic equations into vertex form. It also shows how to use vertex form to find extreme values and lines of symmetry, emphasizing the importance of understanding the role of the coefficient a in determining the parabola's direction.

What is the significance of the coefficient 'a' being greater than one in a quadratic function?

• It has no effect on the parabola's direction.

• It suggests the parabola opens upwards.

• It indicates the parabola opens downwards.

• It means the parabola is wider.

Which form of a quadratic function is also known as the complete the square form?

• Standard form

• Linear form

• Vertex form

• Factored form

What is the axis of symmetry in a quadratic function?

• A vertical line dividing the parabola

• A horizontal line dividing the parabola

• A line that does not intersect the parabola

• A diagonal line dividing the parabola

When completing the square, why do we add 8 to the right side instead of 4?

• Because we added 2 * 4 on the left

• Because 8 is the correct number

• Because 4 is incorrect

• Because we need to balance the equation

What is the first step in converting a quadratic equation to vertex form by completing the square?

• Subtract 7 from both sides

• Add 7 to both sides

• Multiply both sides by 2

• Divide both sides by 2

In vertex form, what does the vertex (h, k) represent?

• The intersection with the y-axis

• The turning point of the parabola

• The minimum point of the parabola

• The maximum point of the parabola

If 'a' is greater than 0 in a quadratic function, what can be said about the parabola?

• It is a straight line

• It has a minimum point

• It does not intersect the x-axis

• It has a maximum point