The video tutorial explains the mathematical constant E, approximately 2.71, and its role in creating growth functions. It discusses how E, being greater than one, affects graph transformations, including stretching and reflecting about the axes. The tutorial also covers the impact of negative signs on graph reflections and concludes with an analysis of horizontal translations and their effect on graph curvature.

What is the approximate value of the base 'E' used in exponential functions?

• 1.41

• 4.20

• 2.71

• 3.14

How does the base of an exponential function affect its graph?

• It affects the rate of transformation of the graph.

• It determines the color of the graph.

• It alters the graph's texture.

• It changes the graph's dimension.

What happens to a graph when there is a negative sign outside the function?

• It shifts to the right.

• It reflects about the X-axis.

• It changes color.

• It becomes a straight line.

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

• It reflects the graph about the Y-axis.

• It stretches the graph vertically.

• It compresses the graph horizontally.

• It shifts the graph upwards.

How does a horizontal translation affect the graph of a function?

• It changes the graph's color.

• It affects the curvature of the graph.

• It makes the graph disappear.

• It rotates the graph.