Quadratic Functions Quiz

What is the general form of a quadratic function?

• y = ax^3 + bx^2 + cx + d

• y = ax^2 + bx

• y = ax^2 + bx + c + d

• y = ax^2 + bx + c

How many x-intercepts can a quadratic function have?

• 1

• 2

• 0

• 3

What is the equation for the axis of symmetry of a parabola?

• x = -a/2b

• x = a/2b

• x = -b/2a

• x = b/2a

What is the formula to find the vertex of a quadratic function?

• x = b / (2a)

• x = -b / a

• x = -b / (2a)

• x = -2b / a

What is the vertex form of a quadratic function?

• y = a(x-h)^2 + k

• y = a(x+h)^2 - k

• y = a(x-h)^2 - k

• y = a(x+h)^2 + k

How can you determine if a parabola opens upward or downward?

• Examine the y-intercept

• Look at the coefficient of the x^2 term

• Count the number of x-intercepts

• Check the sign of the constant term

What is the relationship between the coefficient 'a' and the shape of a parabola?

• The coefficient 'a' determines the direction and width of the parabola.

• The coefficient 'a' determines the x-intercepts of the parabola.

• The coefficient 'a' determines the y-intercept of the parabola.

• The coefficient 'a' determines the axis of symmetry of the parabola.

What is the formula to find the x-coordinate of the vertex of a quadratic function?

• x = b / (2a)

• x = -b / a

• x = -2b / a

• x = -b / (2a)

What is the formula to find the y-coordinate of the vertex of a quadratic function?

• k

• x

• b

• h

How can you determine the direction of the parabola's opening based on the coefficient 'a'?

• The direction of the parabola's opening can be determined based on the sign of the coefficient 'a'.

• The direction of the parabola's opening is always downward.

• The direction of the parabola's opening is determined by the coefficient 'b'.

• The direction of the parabola's opening is always upward.