Quadratic formula

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation in the form ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

Identify the values of a, b, and c in the equation: 4x² – 8x - 3 = 0

Back

a = 4, b = -8, c = -3

Front

Identify the 'a' value in the equation: y = 16x² - 8x - 24

Back

a = 16

Front

Identify the values of A, B, and C in the equation: 11r² + 6r = 6

Back

A = 11, B = 6, C = -6

Front

Identify the values of A, B, and C in the equation: 10p² + 7p - 20 = 0

Back

A = 10, B = 7, C = -20

Front

Identify the 'c' value in the equation: y = 16x² - 8x - 24

Back

c = -24

Front

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

Back

The discriminant determines the nature of the roots of the quadratic equation. If it is positive, there are two distinct real roots; if it is zero, there is one real root; if it is negative, there are no real roots.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How do you convert a quadratic equation from standard form to vertex form?

Back

To convert from standard form (ax² + bx + c) to vertex form (a(x - h)² + k), you can complete the square.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/(2a).