Power Functions and Graph Transformations

The video tutorial covers translating power functions, focusing on graph shifts for absolute value, quadratic, and cubic functions. It explains how adding or subtracting values affects the graph's position, introducing concepts like the vertex and point of inflection. The tutorial also discusses the work form of a function, helping identify horizontal and vertical shifts using H and K values.

What is the main focus of translating power functions?

• Sliding the graph up, down, left, or right

• Rotating the graph

• Changing the size of the graph

• Changing the color of the graph

What does the graph of the absolute value function y = |x| look like?

• A parabola

• A circle

• A V shape with the vertex at the origin

• A straight line

What happens to the graph of y = |x| when you add 2 outside the absolute value?

• It shifts 2 units down

• It shifts 2 units to the left

• It shifts 2 units to the right

• It shifts 2 units up

What is a power function?

• A function of the form y = a + b

• A function of the form y = a / x

• A function of the form y = a * x^n

• A function of the form y = a - x

How can you graph the function y = x^2?

• By drawing a circle

• By using a table of ordered pairs

• By using a compass

• By drawing a straight line

What is the effect of adding a positive K value to y = x^2?

• The graph shifts K units down

• The graph shifts K units up

• The graph shifts K units left

• The graph shifts K units right

What happens when you subtract a number from the input of y = x^2?

• The graph shifts left

• The graph shifts right

• The graph shifts up

• The graph shifts down

What is the work form of a function used for?

• Identifying the rotation of the graph

• Identifying the size of the graph

• Identifying the H and K values for translations

• Identifying the color of the graph

How do you find the vertex of a quadratic function in work form?

• By using the formula H - K

• By using the ordered pair (H, K)

• By using the ordered pair (K, H)

• By using the formula H + K

What is the point of inflection in a cubic function?

• The lowest point on the graph

• The highest point on the graph

• The point where the graph changes direction

• The point where the graph is horizontal