Graph Transformations and Reflections

In this video, Jade explains how to translate and reflect graphs. The tutorial covers vertical and horizontal translations, showing how adding or subtracting values affects the graph's position. Reflections across the x and y axes are also demonstrated, highlighting the impact of negative values. The video concludes with examples of applying these transformations to exponential and sine functions, providing a comprehensive understanding of graph transformations.

What is the main topic discussed in this video?

• Solving quadratic equations

• Translating and reflecting graphs

• Finding the derivative of a function

• Calculating the area under a curve

What happens to the graph when you add a constant to the entire function?

• The graph moves up or down

• The graph shifts left or right

• The graph reflects over the x-axis

• The graph stretches vertically

What is the effect of adding a constant to the y-values of a function?

• The graph moves up or down

• The graph shifts left or right

• The graph reflects over the y-axis

• The graph reflects over the x-axis

What is the effect of adding a constant to the outside of a function?

• The graph moves up or down

• The graph shifts left or right

• The graph reflects over the x-axis

• The graph reflects over the y-axis

What is the effect of adding a constant to the y-values of a function?

• The graph reflects over the x-axis

• The graph reflects over the y-axis

• The graph moves up or down

• The graph shifts left or right

If you add a constant inside the function, how does it affect the graph?

• It stretches the graph horizontally

• It reflects the graph over the y-axis

• It shifts the graph left or right

• It moves the graph up or down

How does adding a constant inside the brackets of a function affect the x-values?

• It increases the x-values

• It does not affect the x-values

• It decreases the x-values

• It reflects the x-values over the y-axis

How does adding a constant inside the function affect the graph's direction?

• It does not move

• It moves in the expected direction

• It moves in the opposite direction

• It reflects over the x-axis

How does adding a constant inside the brackets of a function affect the x-values?

• It increases the x-values

• It decreases the x-values

• It reflects the x-values over the y-axis

• It does not affect the x-values

What is the effect of applying a negative outside the function?

• The graph moves up

• The graph shifts left

• The graph reflects over the x-axis

• The graph reflects over the y-axis