Locating the Vertex of a Quadratic Function

This video tutorial explains how to identify the vertex of a quadratic function by understanding vertical and horizontal translations. It reviews the basic concepts of translating functions and introduces the vertex form of a quadratic equation. The tutorial provides examples to illustrate these concepts and highlights common mistakes students make when identifying the vertex. By the end of the lesson, viewers will understand how to locate the vertex of a quadratic function in a coordinate plane.

What is the vertex of the quadratic function f(x) = x^2?

• (3, 3)

• (2, 2)

• (1, 1)

• (0, 0)

If a constant value is added to a quadratic function, what type of translation occurs?

• No translation

• Diagonal translation

• Vertical translation

• Horizontal translation

What happens to the graph of a quadratic function when a value is subtracted inside the parentheses?

• It shifts vertically

• It shifts horizontally

• It rotates

• It reflects

What is the vertex form of a quadratic function?

• f(x) = ax^2 + bx + c

• f(x) = a(x - h)^2 + k

• f(x) = a(x + h)^2 - k

• f(x) = ax + b

How do you find the vertex of a quadratic function in vertex form?

• By identifying the coefficients

• By completing the square

• By differentiating the function

• By using the values h and k

What is a common mistake when identifying the vertex from the vertex form?

• Using the same sign for h

• Ignoring the k value

• Using the opposite sign for h

• Adding h and k

In the function f(x) = (x - 3)^2 + 4, what is the vertex?

• (3, 4)

• (-3, -4)

• (3, -4)

• (-3, 4)