Quadratic Key Features

Front

What is the equation for the axis of symmetry in a quadratic function?

Back

x = -b/(2a), where a and b are coefficients from the quadratic equation ax^2 + bx + c.

Front

How many solutions can a quadratic equation have?

Back

A quadratic equation can have two solutions, one solution, or no solutions.

Front

What are the x-intercepts of a quadratic function also known as?

Back

Zeros.

Front

What does the ordered pair (h, k) represent in the vertex form of a quadratic function?

Back

It represents the vertex of the parabola.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How do you determine if a quadratic function has a maximum or minimum value?

Back

If the coefficient of x^2 (a) is positive, it has a minimum; if negative, it has a maximum.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0.

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the solutions (roots) of a quadratic equation.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b^2 - 4ac and determines the nature of the roots.

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates two distinct real solutions.