A2H Unit 5 Flashcard #2

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you find the vertex of a quadratic function in standard form?

Back

To find the vertex of a quadratic function in standard form y = ax² + bx + c, use the formula h = -b/(2a) and k = f(h).

Front

What does it mean for a quadratic function to open upwards or downwards?

Back

A quadratic function opens upwards if the coefficient 'a' is positive and downwards if 'a' is negative.

Front

What is the imaginary unit 'i'?

Back

Front

How do you simplify the square root of a negative number?

Back

Front

What is the result of multiplying two square roots of negative numbers?

Back

Front

How do you solve a quadratic equation using the quadratic formula?

Back

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root: D = b² - 4ac. It determines the nature of the roots.

Front

What does a positive discriminant indicate about the roots of a quadratic equation?

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.

Front

What does a zero discriminant indicate about the roots of a quadratic equation?

Back

A zero discriminant indicates that the quadratic equation has exactly one real root (a repeated root).