Exploring Quadratic Functions and Parabolas

What shape does a quadratic function typically represent?

• Parabola

• Triangle

• Square

• Circle

What is the coefficient 'a' in the equation y = 2x² - 4x - 5?

• -4

• 2

• None of the above

• -5

What does the coefficient 'b' represent in a quadratic equation?

• Vertical shift

• Horizontal shift

• Vertical stretch/compression

• Symmetry

What is the value of 'c' in the equation y = 2x² - 4x - 5?

• 2

• -5

• -4

• 5

How do you find the x-coordinate of the vertex of a parabola?

• c/2a

• -c/2a

• -b/2a

• b/2a

What is the x-coordinate of the vertex for the equation y = 2x² - 4x - 5?

• 0

• -1

• 2

• 1

Which of the following is true about the vertex of a parabola?

• It is the highest point

• It is always at the origin

• It is the lowest point

• It can be either the highest or lowest point

What does the vertex form of a parabola tell us?

• The direction it opens

• The coordinates of the vertex

• The maximum value

• The y-intercept

What is the axis of symmetry in the equation y = 2x² - 4x - 5?

• y=1

• x=1

• y=-1

• x=-1

If a parabola's 'a' coefficient is positive, in which direction does it open?

• Left

• Right

• Downwards

• Upwards