Exploring Adding and Subtracting Rational Expressions

What is the most basic form of a quadratic equation?

• y = x^3

• y = x^2

• y = x

• y = 2x

What happens to the parabola if the 'a' value is negative?

• It moves up

• It flips upside down

• It shifts to the left

• It shifts to the right

What does the 'H' value in a quadratic equation control?

• Width of the parabola

• Direction of the parabola

• Vertical shift

• Horizontal shift

If H is negative, in which direction does the graph move?

• Right

• Down

• Left

• Up

In the given example, what is the effect of H being zero?

• The graph flips

• The graph does not move horizontally

• The graph moves right

• The graph moves left

What does the 'K' value in a quadratic equation control?

• Direction of the parabola

• Width of the parabola

• Vertical shift

• Horizontal shift

If K is positive, in which direction does the graph move?

• Down

• Left

• Up

• Right

In the example with H = -1 and K = -6, where does the graph move?

• Right 1, Up 6

• Left 1, Down 6

• Right 1, Down 6

• Left 1, Up 6

What is the first step when both flipping and shifting the parabola?

• Shift horizontally

• Flip the parabola

• None of the above

• Shift vertically

In the final example, what is the combined effect of H = 4 and K = 1?

• Left 4, Up 1

• Left 4, Down 1

• Right 4, Down 1

• Right 4, Up 1