Find the vertex of a parabola using transformations

The video tutorial guides students on identifying the vertex of a quadratic function and determining if it is a maximum or minimum. It reviews the parent graph and vertex form, discusses graph transformations like reflection, compression, and shifts, and demonstrates how to calculate the vertex and identify it as an absolute maximum.

What is the primary task mentioned in the introduction regarding quadratic functions?

• To find the roots of a polynomial

• To graph linear functions

• To identify the vertex and determine if it's a max or min

• To solve quadratic equations

Which form of a quadratic function is emphasized for understanding transformations?

• Standard form

• Exponential form

• Vertex form

• Factored form

What does a negative sign in front of a quadratic function indicate?

• A reflection over the x-axis

• A vertical stretch

• A vertical compression

• A horizontal shift

How does a factor of 1/2 outside the quadratic function affect the graph?

• It results in a vertical compression

• It reflects the graph over the y-axis

• It causes a horizontal stretch

• It shifts the graph upwards

In the example provided, what is the vertex of the quadratic function?

• (3, -1)

• (-1, -3)

• (1, -3)

• (-1, 3)