Quadratic practice

What is the standard form of a quadratic equation?

• y = ax² + bx + c

• y = a(x - h)² + k

• y = ax + b

• y = a/x + b

What does it mean if the discriminant is zero?

• There are two distinct real roots.

• There is exactly one real root (a repeated root).

• There are no real roots, only complex roots.

• The roots are imaginary and cannot be calculated.

To solve by completing the square, what needs to be moved in the equation x² = 9 - 4x?

• The 9 needs to be moved.

• The -4x needs to be moved.

• The x² needs to be moved.

• The equation needs to be rearranged.

What must you do to the 'b' value to correctly complete the square?

• Add it to the equation and multiply by 2.

• Divide it by 2 and square the result.

• Subtract it from the equation and square the result.

• Multiply it by 2 and add the result.

How do you find the axis of symmetry or x value for min/max for a quadratic equation in standard form?

• x = -b/(2a)

• x = b/(2a)

• x = -2b/a

• x = a/b

What is the quadratic formula for the roots of a quadratic equation?

• x = (-b ± √(b² - 4ac)) / (2a)

• x = (b ± √(b² + 4ac)) / (2a)

• x = (-b ± √(b² + 4ac)) / (2a)

• x = (b ± √(b² - 4ac)) / (2a)

What does it mean if the discriminant is negative?

• There are two distinct real roots.

• There is one real root and one complex root.

• There are no real roots (the roots are complex).

• The roots are all real and equal.

What is the significance of the discriminant in a quadratic equation?

• It determines the number of real solutions.

• It indicates the vertex of the parabola.

• It provides the axis of symmetry.

• It calculates the roots of the equation.

What does it mean if the discriminant is positive?

• There are no real roots.

• There is one real root.

• There are two distinct real roots.

• There are infinitely many real roots.

What does the 'a' value in a quadratic equation determine?

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

• The 'a' value determines the color of the graph.

• The 'a' value determines the number of solutions to the equation.

• The 'a' value determines the height of the vertex.