Solving Quadratics Review Day 3

Front

What are the zeros of the quadratic equation?

Back

The zeros of a quadratic equation are the values of x that make the equation equal to zero. They can be found by factoring, using the quadratic formula, or completing the square.

Front

Solve the quadratic equation: a² + 2a - 24 = 0

Back

a = -6, 4

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

What is another term for the roots of a quadratic?

Back

Zeros.

Front

Solve by taking square roots: k² - 6 = 43

Back

k = 7, k = -7

Front

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

Back

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

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

How do you find the axis of symmetry of a quadratic function?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

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

Back

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