Quadratic Equations in Standard Form (3.3)

In the standard form of a quadratic equation, what does the 'a' value represent?

• The y-intercept

• The axis of symmetry

• The direction and width of the parabola

• The vertex of the parabola

If the 'a' value is positive, how does the parabola open?

• Downward

• Sideways

• Upward

• It does not open

What happens to the parabola if the absolute value of 'a' is greater than 1?

• The parabola gets wider

• The parabola gets narrower

• The parabola remains the same

• The parabola disappears

What is the visual representation of a parabola with a = -1?

• Opens upward, standard width

• Opens downward, standard width

• Opens upward, wider than x²

• Opens downward, narrower than x²

If 'a' is negative, how does the parabola open?

• Upward

• Sideways

• Downward

• It does not open

What does the 'c' value in a quadratic equation represent?

• The y-intercept

• The x-intercept

• The axis of symmetry

• The vertex

For the equation f(x) = x² - 4x + 5, what is the y-intercept?

• (0, 5)

• (5, 0)

• (0, -4)

• (-4, 0)

If a parabola is symmetrical around the vertical line x = -2, what is the axis of symmetry?

• x = -2

• x = 2

• x = 0

• x = -4

What does the 'b' value help us find in a quadratic equation?

• The axis of symmetry

• The y-intercept

• The vertex

• The direction of the parabola

What's the axis of symmetry of y = 3x² - 6x + 4

• x=1
• x=-6
• x=2
• x=-1