Learn how to find the domain and range including the vertex and axis of symmetry

The video tutorial explains the vertex form of a quadratic equation, focusing on identifying the vertex and axis of symmetry. It then discusses how to sketch the graph, emphasizing the domain as all real numbers. Finally, it covers the range, explaining how to determine the lowest and highest Y values, with the graph extending to infinity.

What is the vertex of the quadratic equation in vertex form if it is given as a * (X - H)^2 + K?

• (-K, -H)

• (K, H)

• (-H, K)

• (H, K)

What is the axis of symmetry for the quadratic equation in vertex form?

• X = H

• X = K

• Y = K

• Y = H

What is the domain of a quadratic function?

• All real numbers

• All integers

• All negative numbers

• All positive numbers

How is the range of a quadratic function determined?

• By the y-values

• By the x-values

• By the slope

• By the z-values

What is the lowest value in the range of a quadratic function that opens upwards?

• Negative infinity

• Zero

• The y-coordinate of the vertex

• Positive infinity