Transformations of Quadratic Functions

The video tutorial covers transformations of quadratic functions, focusing on vertical and horizontal transformations. It explains how the 'a' value affects vertical stretch and compression, and how changes inside and outside the parentheses affect horizontal and vertical movements. An example of a complex transformation is provided, demonstrating the combined effects of multiple transformations on a graph.

What is the exponent in the parent function for quadratics?

• 3

• 2

• 1

• 4

What does the 'a' value in front of the quadratic function affect?

• The x-intercepts

• The width and direction of the parabola

• The vertical shift

• The horizontal shift

If 'a' is greater than 1, what happens to the graph of the quadratic function?

• It stretches horizontally

• It stretches vertically

• It shifts to the right

• It shifts to the left

What happens to the graph of the quadratic function if 'a' is a fraction less than 1?

• It shifts down

• It stretches vertically

• It shifts up

• It stretches horizontally

In a horizontal transformation, if the function is f(x + 3), which direction does the graph move?

• Left 3 units

• Right 3 units

• Down 3 units

• Up 3 units

In a horizontal transformation, if the function is f(x - 4), which direction does the graph move?

• Up 4 units

• Left 4 units

• Right 4 units

• Down 4 units

What does a vertical transformation affect in the graph of a quadratic function?

• The width of the parabola

• The horizontal shift

• The direction of the parabola

• The vertical shift

If the function is f(x) + 5, what happens to the graph?

• It moves right 5 units

• It moves up 5 units

• It moves left 5 units

• It moves down 5 units

In the function -2(x + 1)^2 - 4, what does the negative sign in front of the 2 indicate?

• The graph shifts left

• The graph shifts right

• The graph flips over the x-axis

• The graph flips over the y-axis

In the function -2(x + 1)^2 - 4, what does the -4 indicate?

• The graph shifts right 4 units

• The graph shifts left 4 units

• The graph shifts down 4 units

• The graph shifts up 4 units