Graphing Function Transformations: Part 2 Insights

This video tutorial covers graphing functions with multiple transformations, providing two examples. The first example involves a quadratic function, demonstrating vertical stretching, horizontal shifting, and vertical shifting. The second example focuses on a rational function, illustrating similar transformations. The video emphasizes understanding parent functions and applying transformations step-by-step to graph the final function.

What is the parent function of the first example?

• y = x + 4

• y = 2x

• y = x^2

• y = x

What does the value of 'A' equal to 2 indicate in the first example?

• Horizontal stretch by a factor of 2

• Vertical stretch by a factor of 2

• Shift left by 2 units

• Shift down by 2 units

How do you transform the point (-2, 4) when 'A' is equal to 2?

• (-4, 4)

• (-2, 8)

• (-2, 6)

• (-2, 2)

What is the result of shifting the function left by 4 units?

• Add 4 to each x-coordinate

• Subtract 4 from each x-coordinate

• Add 4 to each y-coordinate

• Subtract 4 from each y-coordinate

What is the new point after shifting (-2, 8) left by 4 units and down by 3 units?

• (-2, 11)

• (-2, 5)

• (-6, 11)

• (-6, 5)

What is the parent function of the second example?

• y = x

• y = x^2

• y = 1/x

• y = 2x

What does 'C' equal to -3 indicate in the second example?

• Shift down by 3 units

• Shift up by 3 units

• Shift right by 3 units

• Shift left by 3 units

How do you transform the point (1, 1) when 'A' is equal to 2 in the second example?

• (2, 2)

• (1, 4)

• (2, 1)

• (1, 2)

What is the result of adding 3 to the x-coordinate and 1 to the y-coordinate of the point (1/2, 4)?

• (3, 5)

• (3.5, 5)

• (4, 5)

• (3.5, 4)

What is the final point after transforming (-1/2, -2) by adding 3 to the x-coordinate and 1 to the y-coordinate?

• (2, -3)

• (2.5, -3)

• (2, -1)

• (2.5, -1)