What is a reflection for a quadratic graph

The video tutorial explains the concept of reflections in the context of quadratics. It begins with a general discussion on reflections over the X and Y axes, using coordinate points and graphs. The tutorial then delves into how reflections apply to quadratic graphs, emphasizing the importance of the 'A' value in determining the direction of the reflection. The video also covers the symmetry of quadratic graphs and how reflections are primarily vertical due to the axis of symmetry.

What happens to the coordinates of a point (2, 3) when it is reflected over the Y axis?

• (3, 2)

• (-2, -3)

• (2, -3)

• (-2, 3)

How does the graph of y = x^2 change when it is reflected over the X axis?

• It shifts upwards.

• It becomes a mirror image across the Y axis.

• It shifts downwards.

• It becomes a mirror image across the X axis.

In the quadratic equation y = a(x - h)^2 + k, what does it mean if 'a' is less than zero?

• The graph shifts to the left.

• The graph reflects over the X axis.

• The graph shifts to the right.

• The graph reflects over the Y axis.

What is the effect of multiplying the X variable by a negative in a quadratic function?

• It shifts the graph downwards.

• It reflects the graph over the X axis.

• It reflects the graph over the Y axis.

• It shifts the graph upwards.

Why are horizontal reflections not typically considered in quadratic functions?

• Because horizontal reflections are the same as vertical reflections.

• Because quadratics are symmetrical around a vertical axis.

• Because quadratics are not symmetrical.

• Because horizontal reflections do not affect the graph.

What is the result of reflecting the graph of y = -x^2 over the Y axis?

• The graph shifts to the left.

• The graph remains unchanged.

• The graph shifts to the right.

• The graph becomes a mirror image across the X axis.

What is the significance of the axis of symmetry in quadratic functions?

• It defines the maximum or minimum point of the graph.

• It shows the line over which the graph is symmetrical.

• It indicates the direction of the graph.

• It determines the vertex of the graph.