Graphing a quadratic function in vertex form with reflection

The video tutorial explains how a quadratic function with a negative sign inside the function reflects over the Y axis. It starts by setting up the problem and creating a table of values, showing that squaring any number results in positive values. The tutorial then discusses how multiplying by a negative number inside the function reflects the graph over the Y axis, resulting in the same graph as the original parabola. The video concludes by summarizing the transformation process and its effects on the graph.

What happens to the graph of a quadratic function when a negative sign is introduced inside the function?

• It reflects over the X-axis.

• It becomes a straight line.

• It shifts upwards.

• It reflects over the Y-axis.

When creating a table of values for a quadratic function with a negative sign inside, what is the effect on the Y values?

• They remain unchanged.

• They alternate between positive and negative.

• They become all negative.

• They become all positive.

How does squaring an X value and then multiplying by a negative number affect the graph of a quadratic function?

• It compresses the graph vertically.

• It shifts the graph to the right.

• It makes the graph steeper.

• It reflects the graph over the Y-axis.

What is the axis of symmetry for a quadratic function that is already reflected about the Y-axis?

• Y = 0

• X = 0

• X = 1

• Y = 1

What is the result of applying a reflection over the Y-axis to a quadratic function that is already symmetric about the Y-axis?

• The graph becomes a horizontal line.

• The graph shifts to the left.

• The graph shifts upwards.

• The graph remains unchanged.