Learn how to graph the exponential function with transformations

The video tutorial revisits the concept of growth functions, emphasizing the importance of the base and initial graphing without transformations. It then introduces graph transformations, focusing on reflections and horizontal shifts. The instructor explains how to rewrite equations to better understand these transformations, particularly the impact of negative factors on reflections and shifts. The session concludes with a final graph demonstration, highlighting the shift of a key point and summarizing the transformations applied.

What does the base of a growth function indicate about the graph?

• The height of the graph

• The speed at which the graph curves upward

• The width of the graph

• The color of the graph

What effect does a negative sign inside the function have on the graph?

• It reflects the graph over the x-axis

• It reflects the graph over the y-axis

• It shifts the graph downwards

• It shifts the graph upwards

How does adding a constant inside the function affect the graph?

• It shifts the graph to the right

• It reflects the graph over the y-axis

• It reflects the graph over the x-axis

• It shifts the graph to the left

What is the result of factoring out a negative sign in the transformation?

• It reflects the graph over the y-axis

• It shifts the graph upwards

• It changes the graph's color

• It makes the graph disappear

After applying the transformations, what is the new position of the point (0,1)?

• (5,1)

• (5,0)

• (0,5)

• (1,5)