Graphing and describing a dialation 4y = x^2

The video tutorial covers the concept of dilation in mathematics, focusing on a quadratic function. It begins with an introduction to the problem and the setup for dilation. The teacher explains the parent function, y = x^2, and its graph. The process of describing dilation is detailed, including how to isolate y and understand the effect of dilation on the graph. The tutorial concludes with graphing the dilation and discussing its impact, emphasizing the horizontal expansion and compression of the graph.

What is the parent function identified in the lesson?

• y = x

• y = 2x

• y = x^3

• y = x^2

What is the first step in describing a dilation?

• Isolate y in the equation

• Add a constant to the equation

• Multiply the equation by 4

• Subtract a constant from the equation

How does a dilation factor greater than one affect the graph?

• It shifts the graph upwards

• It reflects the graph

• It makes the graph wider

• It compresses the graph

What is the dilation factor used in the example?

• 1/4

• 1/2

• 4

• 2

What happens to the graph when a dilation factor of 1/4 is applied?

• The graph reflects over the x-axis

• The graph expands horizontally

• The graph shifts to the left

• The graph becomes narrower