KUIS PERSAMAAN KUADRAT

Indah is studying quadratic equations for her math exam. What is the standard form of a quadratic equation?

• ax² + bx + c = 0

• a(x + b) = c

• x² + bx + c

• ax + b = 0

Identify the coefficients in the equation: 2x² + 3x - 5 = 0.

• Coefficients: 2 (for x²), 3 (for x), -5 (constant term)

• Coefficients: 2 (for x), 3 (for x²), -5 (constant term)

• Coefficients: 1 (for x²), 3 (for x), 5 (constant term)

• Coefficients: 2 (for x²), 3 (for x²), -5 (constant term)

What is the quadratic formula used to find the roots of a quadratic equation?

• x = (2a ± b) / √(b² - 4ac)

• x = (b ± 4ac) / (2√(b²))

• x = (b ± √(b² + 4ac)) / (2a)

• x = (-b ± √(b² - 4ac)) / (2a)

How many roots can a quadratic equation have?

• infinity

• 4

• 3

• 0, 1, or 2

What does the discriminant of a quadratic equation tell us?

• The discriminant determines the coefficients of the quadratic equation.

• The discriminant indicates the slope of the quadratic function.

• The discriminant indicates the nature and number of roots of a quadratic equation.

• The discriminant provides the exact values of the roots.

Solve the quadratic equation: x² - 4x + 4 = 0.

• x = -2

• x = 0

• x = 2

• x = 4

What is the vertex form of a quadratic equation?

• y = ax² + bx + c

• y = a(x - h)² + k

• y = a(x + h)² - k

• y = a(x - h) + k

How do you determine if a quadratic opens upwards or downwards?

• The quadratic opens upwards if the coefficient 'b' is positive.

• The direction of a quadratic is determined by the sign of the coefficient 'a' in the equation ax² + bx + c.

• The direction is determined by the value of 'c' in the equation.

• A quadratic always opens downwards regardless of its coefficients.

Find the roots of the equation: x² + 6x + 9 = 0 using factoring.

• x = -3

• x = 3

• x = 0

• x = -6

What is the axis of symmetry for the quadratic equation y = x² - 2x + 1?

• x = 1

• x = -1

• x = 2

• x = 0