Overview transformations reflections - Online Tutor - Free Math Videos

The video tutorial explains the concept of reflections in graph transformations. It covers vertical reflections over the X-axis by multiplying the function by -1, affecting the Y-values. It also discusses horizontal reflections over the Y-axis by using a negative X within the function, affecting the X-values. The tutorial emphasizes understanding the differences between these transformations and their effects on graph coordinates.

What happens to a graph when a constant is added to the function?

• The graph reflects over the Y-axis.

• The graph reflects over the X-axis.

• The graph shifts horizontally.

• The graph shifts vertically.

What is the result of multiplying a function by a negative number?

• The graph reflects over the X-axis.

• The graph reflects over the Y-axis.

• The graph shifts to the left.

• The graph shifts to the right.

When does a reflection over the Y-axis occur?

• When the function is multiplied by a negative number.

• When the input of the function is negated.

• When a constant is subtracted from the function.

• When a constant is added to the function.

How does negating the input of a function affect its graph?

• It reflects the graph over the Y-axis.

• It shifts the graph down.

• It reflects the graph over the X-axis.

• It shifts the graph up.

What is the effect of a negative sign inside the function on the X values?

• It makes the X values negative.

• It makes the X values positive.

• It halves the X values.

• It doubles the X values.

Why is it important to understand the difference between vertical and horizontal reflections?

• To find the derivative of a function.

• To calculate the area under a curve.

• To determine the slope of a line.

• To correctly apply transformations to graphs.

In which scenario does the reflection of a function remain unchanged?

• When the function is exponential.

• When the function is linear.

• When the function is quadratic.

• When the function is cubic.