Graphing Quadratic Equations: Key Concepts and Techniques

What is the standard form of a quadratic equation?

• y = ax^3 + bx^2 + c

• y = a + bx + c

• y = ax^2 + bx + c

• y = ax + b

What shape does a quadratic equation graph form?

• Parabola

• Ellipse

• Circle

• Hyperbola

If the leading coefficient 'a' is positive, in which direction does the parabola open?

• Upwards

• Downwards

• Rightwards

• Leftwards

What is the formula to find the x-value of the vertex?

• x = -b / a

• x = b / 2a

• x = -b / 2a

• x = 2a / -b

What is the x-value of the vertex for the equation 2x^2 - 4x - 1?

• 2

• -1

• 1

• 0

What is the y-value of the vertex when x = 1 for the equation 2x^2 - 4x - 1?

• 1

• 0

• -3

• -1

What are the coordinates of the vertex for the equation 2x^2 - 4x - 1?

• (1, 0)

• (0, -1)

• (2, -4)

• (1, -3)

What is the axis of symmetry for the equation 2x^2 - 4x - 1?

• x = 1

• x = 2

• x = -1

• x = 0

What is the y-intercept of the equation 2x^2 - 4x - 1?

• 0

• -1

• 1

• -3

What are the x-intercepts of the equation 2x^2 - 4x - 1?

• 3 and -1

• 2.23 and -0.23

• 1 and 2

• 0 and 1