Graphing a quadratic with a dialation

The video tutorial explains the parent graph y = X^2 and explores the vertex form y = a(X-H)^2 + K. It discusses how the values of K, H, and a affect the graph's position and shape. The tutorial focuses on graphing y = 3X^2, demonstrating how the graph becomes horizontally compressed or vertically stretched when the absolute value of a is greater than one. The session concludes with a summary of these transformations.

What happens to the graph of y = X^2 when there is no K or H in the vertex form equation?

• The graph shifts left or right.

• The graph shifts up or down.

• The graph remains unchanged in position.

• The graph becomes wider.

How does the coefficient 'a' in the equation y = a * X^2 affect the graph?

• It shifts the graph horizontally.

• It changes the width of the graph.

• It shifts the graph vertically.

• It rotates the graph.

If the value of 'a' is greater than 1, what happens to the graph of the quadratic equation?

• The graph shifts to the right.

• The graph becomes skinnier.

• The graph shifts to the left.

• The graph becomes wider.

What is the effect of a negative 'a' value on the graph of y = a * X^2?

• The graph shifts downwards.

• The graph is reflected over the x-axis.

• The graph is reflected over the y-axis.

• The graph shifts upwards.

What does it mean when the graph is described as 'horizontally compressed'?

• The graph is shifted downwards.

• The graph is shifted upwards.

• The graph is narrower than the parent graph.

• The graph is wider than the parent graph.