Graphing a Piecewise Function Radical and Quadratic With Transformations

The video tutorial covers graphing functions with constraints, focusing on transformations such as compression, reflection, and translation. It explains how to adjust the vertex of a function and apply horizontal compression. The tutorial also explores the square root function, highlighting transformations and graphing techniques. The session concludes with a review of key concepts and trigonometric functions.

What is the vertex of the function y = 2(x - 2)^2 - 1 after factoring?

• (0, -1)

• (2, -1)

• (0, 2)

• (2, 0)

Which transformation is applied to the function y = 2(x - 2)^2 - 1?

• Horizontal compression

• Vertical compression

• Horizontal stretch

• Vertical reflection

How does the graph of y = 2(x - 2)^2 - 1 change when you multiply by 2?

• It becomes narrower

• It shifts down

• It shifts left

• It becomes wider

What is the transformation applied to the square root function y = sqrt(x - 2) + 1?

• Right 1 unit, up 2 units

• Left 1 unit, down 2 units

• Right 2 units, up 1 unit

• Left 2 units, down 1 unit

For the function y = sqrt(x - 2) + 1, what is the domain restriction?

• x ≥ 2

• x ≤ 2

• x > 2

• x < 2