Find a" to determine whether vertex is a maximum or a minimum"

This lesson teaches how to determine if the vertex of a quadratic function is a maximum or minimum by analyzing the value of 'a' in the vertex form. Two examples are provided: one with a negative 'a' value resulting in a maximum vertex, and another with a positive 'a' value resulting in a minimum vertex. The lesson concludes with a summary of these concepts.

What is the primary factor in determining if a vertex is a maximum or minimum?

• The value of 'c' in the quadratic equation

• The x-coordinate of the vertex

• The value of 'a' in the quadratic equation

• The value of 'b' in the quadratic equation

In the first example, what is the vertex of the function?

• (-3, 5)

• (3, 5)

• (-3, -5)

• (3, -5)

Why is the vertex in the first example considered a maximum?

• Because the value of 'a' is positive

• Because the value of 'a' is negative

• Because the function is linear

• Because the vertex is at the origin

In the second example, what is the vertex of the function?

• (1, -2)

• (-1, 2)

• (1, 2)

• (-1, -2)

Why is the vertex in the second example considered a minimum?

• Because the vertex is at the origin

• Because the value of 'a' is positive

• Because the value of 'a' is negative

• Because the function is linear

What does a positive 'a' value indicate about the parabola's direction?

• The parabola is a circle

• The parabola opens downward

• The parabola is a straight line

• The parabola opens upward

In the final example, what is the vertex of the function?

• (4, -1)

• (-4, 1)

• (4, 1)

• (-4, -1)