Graph Transformations and Effects

This video tutorial explains how changes in function equations affect their graphs, focusing on transformations such as translations, reflections, and stretches. It covers vertical and horizontal shifts, stretches, and compressions, providing examples to illustrate these concepts. The video also guides viewers on determining transformation values and concludes with a summary of the key points discussed.

What is the effect of adding a constant to the function value in a function equation?

• Vertical stretch

• Horizontal stretch

• Vertical translation

• Horizontal translation

If f(x) is transformed to f(x) + 3, what happens to the graph?

• Shifts 3 units downward

• Shifts 3 units upward

• Shifts 3 units to the right

• Shifts 3 units to the left

In a vertical transformation, what does a positive k value indicate?

• Shift upward

• Shift to the left

• Shift to the right

• Shift downward

If f(x) is transformed to f(x) - 4, what happens to the graph?

• Shifts 4 units to the right

• Shifts 4 units to the left

• Shifts 4 units downward

• Shifts 4 units upward

What happens to the graph of f(x) when a constant is added inside the parentheses?

• Vertical translation

• Horizontal translation

• Horizontal stretch

• Vertical stretch

If f(x) is transformed to f(x + 2), what is the effect on the graph?

• Shifts 2 units downward

• Shifts 2 units upward

• Shifts 2 units to the right

• Shifts 2 units to the left

What is the effect of a negative k value in a horizontal translation?

• Shift upward

• Shift to the right

• Shift downward

• Shift to the left

If f(x) is transformed to f(x - 3), what is the effect on the graph?

• Shifts 3 units downward

• Shifts 3 units to the left

• Shifts 3 units upward

• Shifts 3 units to the right

What is the effect of adding a constant to the x value inside the parentheses?

• Vertical stretch

• Horizontal translation

• Horizontal stretch

• Vertical translation

In a horizontal transformation, what does a positive k value indicate?

• Shift upward

• Shift downward

• Shift to the left

• Shift to the right