CFA - UNIT 8

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What are the zeros of a function?

Back

The zeros of a function are the values of x for which f(x) = 0. They are the points where the graph of the function intersects the x-axis.

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

A quadratic function opens upwards if the coefficient of x^2 (a) is positive, and it opens downwards if a is negative.

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

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, given by the equation x = -b/(2a).

Front

What does it mean for a function to be greater than zero?

Back

A function is greater than zero for values of x where the graph of the function is above the x-axis.

Front

What does it mean for a function to be less than zero?

Back

A function is less than zero for values of x where the graph of the function is below the x-axis.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Front

What is the factored form of a quadratic function?

Back

The factored form of a quadratic function is f(x) = a(x - r1)(x - r2), where r1 and r2 are the roots or zeros of the function.

Front

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

Back

To find the vertex from the standard form f(x) = a(x - h)^2 + k, the vertex is (h, k).