Understanding Transformations of Quadratic Equations

What is the parent function for quadratic transformations discussed in the video?

• y = x^2

• y = √x

• y = x^3

• y = |x|

What does a negative 'a' value indicate about the parabola?

• It is stretched vertically.

• It is compressed vertically.

• It is flipped upside down.

• It is shifted to the right.

If 'a' is greater than 1, what transformation occurs?

• Reflection

• Horizontal shift

• Vertical compression

• Vertical stretch

How does the 'h' value affect the graph of a quadratic equation?

• It compresses the graph vertically.

• It indicates a horizontal shift.

• It reflects the graph over the x-axis.

• It determines the vertical stretch.

What is the effect of a positive 'k' value on the graph?

• The graph shifts down.

• The graph shifts up.

• The graph compresses horizontally.

• The graph reflects over the y-axis.

In the example with 'x - 8', what is the horizontal transformation?

• Shift left 8 units

• Shift right 8 units

• Shift up 8 units

• Shift down 8 units

What happens to the graph if there is no 'k' value?

• It shifts up.

• It reflects over the x-axis.

• It remains on the x-axis.

• It shifts down.

How do you determine if a parabola is vertically stretched?

• If 'a' is less than 1

• If 'a' is greater than 1

• If 'a' is negative

• If 'a' is zero

What is the first step in writing a quadratic equation from transformations?

• Determine if the parabola is flipped.

• Find the 'h' value.

• Calculate the vertex.

• Identify the 'k' value.

If a parabola is reflected across the x-axis, what is true about 'a'?

• 'a' is positive

• 'a' is zero

• 'a' is greater than 1

• 'a' is negative