CHARACTERISTICS OF QUADRATIC FUNCTIONS

Front

What is a parabola?

Back

The U-shaped graph of a quadratic function.

Front

Does a quadratic function have a maximum or minimum value?

Back

It can have either a maximum or minimum value, depending on the direction of the parabola.

Front

What is the domain of a quadratic function?

Back

The domain is all real numbers.

Front

What is the range of a quadratic function that opens upwards?

Back

The range is y ≥ the minimum value.

Front

What is the range of a quadratic function that opens downwards?

Back

The range is y ≤ the maximum value.

Front

What does the vertex of a parabola represent?

Back

The vertex represents the maximum or minimum point of the quadratic function.

Front

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

Back

The vertex can be found using the formula x = -b/(2a) for a function in the form y = ax^2 + bx + c.

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph crosses the y-axis, found by evaluating the function at x = 0.

Front

What are the zeros of a quadratic function?

Back

The zeros are the x-values where the function equals zero, also known as the roots of the equation.

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 x = -b/(2a).