Transformations of Quadratic Equations

This lesson covers transformations of quadratic equations, focusing on translations and scaling. Translations involve shifting the graph left, right, up, or down, while scaling involves stretching or compressing the graph vertically or horizontally. The lesson provides examples and algebraic representations to illustrate these concepts, helping students understand how transformations affect the graph's position and shape.

What is the primary effect of a translation on the graph of a quadratic equation?

• It reflects the graph over the x-axis.

• It rotates the graph around the origin.

• It shifts the graph to a new location.

• It changes the shape of the graph.

In a vertical translation, what does a positive k value indicate?

• The graph is shifted upwards.

• The graph is shifted to the right.

• The graph is shifted to the left.

• The graph is shifted downwards.

How is a horizontal translation represented in the vertex form of a quadratic equation?

• By changing the k value.

• By changing the coefficient of x.

• By changing the constant term.

• By changing the h value.

What happens to the graph of a quadratic equation during a vertical stretch?

• It becomes wider.

• It becomes narrower.

• It shifts to the left.

• It shifts to the right.

Which of the following describes a horizontal compress?

• The graph is stretched away from the x-axis.

• The graph is compressed towards the x-axis.

• The graph is stretched away from the y-axis.

• The graph is compressed towards the y-axis.

In a horizontal stretch, what is the range of the number that multiplies x?

• Between 0 and 1

• Less than 0

• Equal to 1

• Greater than 1

What is the effect of a vertical compress on the graph of a quadratic equation?

• The graph moves further from the x-axis.

• The graph moves closer to the x-axis.

• The graph moves closer to the y-axis.

• The graph moves further from the y-axis.