Transforming Quadratic Functions with Desmos

The video tutorial covers transformations of quadratic functions using function notation. It begins with a review of function notation, explaining vertical and horizontal changes. The quadratic parent function is introduced, followed by discussions on vertical and horizontal translations, reflections, and the effects of multiplying by constants. The tutorial demonstrates how these transformations affect the graph's shape, vertex, axis of symmetry, and range.

What does changing f(x) primarily affect?

• Vertical position

• Horizontal position

• Width of the graph

• Color of the graph

What happens to the quadratic parent function when you add a positive number outside the parentheses?

• Moves left

• Moves up

• Moves right

• Moves down

What does subtracting a number outside the parentheses of f(x) do?

• Shifts the graph up

• Shifts the graph down

• Makes the graph wider

• Makes the graph skinnier

Adding a number inside the parentheses of f(x) results in which kind of shift?

• Upward

• Downward

• Left

• Right

Subtracting a number inside the parentheses of f(x) results in which direction of shift?

• Upward

• Downward

• Left

• Right

What does a negative sign in front of f(x) cause?

• Reflection over the y-axis

• Horizontal stretch

• Vertical compression

• Reflection over the x-axis

Multiplying f(x) by a number greater than 1 results in what?

• Vertical stretch

• Vertical compression

• Horizontal stretch

• Horizontal compression

What is the effect of multiplying f(x) by a number less than 1?

• Vertical stretch

• Vertical compression

• Horizontal stretch

• Horizontal compression

What effect does multiplying the x-value inside the parentheses by a number greater than 1 have?

• Horizontal compression

• Vertical compression

• Vertical stretch

• Horizontal stretch

Multiplying the x-value inside the parentheses by a fraction results in what?

• Horizontal compression

• Vertical stretch

• Vertical compression

• Horizontal stretch