Transformations of Quadratic Functions

The video tutorial discusses transformations in linear and quadratic functions, focusing on vertical translations. It explains the concept of parent functions and how adding or subtracting constants affects the graph's position. Examples illustrate how quadratic functions are translated vertically, and function notation is used to describe these translations.

What type of transformations are focused on in this video?

• Horizontal translations

• Vertical translations

• Rotations

• Reflections

What is the parent function for a linear function?

• f(x) = 1/x

• f(x) = x^3

• f(x) = x

• f(x) = x^2

How does adding a constant to a quadratic function affect its graph?

• It shifts the graph horizontally

• It shifts the graph vertically

• It reflects the graph

• It rotates the graph

What is the parent function for a quadratic function?

• f(x) = x

• f(x) = x^2

• f(x) = x^3

• f(x) = 1/x

If the constant added to a quadratic function is positive, what happens to the graph?

• It shifts down

• It shifts up

• It reflects over the x-axis

• It reflects over the y-axis

In the example where f(x) = x^2, how many units was the graph translated up?

• 2 units

• 6 units

• 4 units

• 8 units

In the example where f(x) = x^2, how many units was the graph translated down?

• 2 units

• 4 units

• 6 units

• 8 units

When translating from f(x) to g(x), how many units was the graph moved up?

• 4 units

• 5 units

• 3 units

• 6 units

What is the y-intercept of the function g(x) in the example provided?

• 5

• 2

• 3

• 0

How many units did f(x) move down to become g(x) in the final example?

• 5 units

• 6 units

• 4 units

• 3 units