quadratic formula

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation and is given by: x = (-b ± √(b² - 4ac)) / (2a).

Front

Identify the 'a' value in the quadratic equation: y = ax² + bx + c.

Back

The 'a' value is the coefficient of x² in the quadratic equation.

Front

Identify the 'b' value in the quadratic equation: y = ax² + bx + c.

Back

The 'b' value is the coefficient of x in the quadratic equation.

Front

Identify the 'c' value in the quadratic equation: y = ax² + bx + c.

Back

The 'c' value is the constant term in the quadratic equation.

Front

What does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

The discriminant determines the nature of the roots: if > 0, two distinct real roots; if = 0, one real root; if < 0, no real roots.

Front

Solve the quadratic equation using the quadratic formula: 2x² + 2x - 12 = 0.

Back

x = 2, -3.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

How do you find the axis of symmetry for a quadratic equation?

Back

The axis of symmetry can be found using the formula x = -b / (2a).

Front

What is the significance of the 'a' value in a quadratic equation?

Back

The 'a' value determines the direction of the parabola: if 'a' > 0, it opens upwards; if 'a' < 0, it opens downwards.