Key Features of Quadratic Functions

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does the graph of a quadratic function look like?

Back

The graph of a quadratic function is a parabola, which opens upwards if a > 0 and downwards if a < 0.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on the direction the parabola opens.

Front

What is an x-intercept?

Back

An x-intercept is a point where the graph of a function crosses the x-axis, meaning the output (y-value) is zero.

Front

What is a y-intercept?

Back

A y-intercept is a point where the graph of a function crosses the y-axis, meaning the input (x-value) is zero.

Front

What is the significance of the ordered pair (3, 0) on the graph of a quadratic function?

Back

The ordered pair (3, 0) represents an x-intercept of the quadratic function.

Front

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

Back

The range of a quadratic function that opens upwards is all real numbers greater than or equal to the y-coordinate of the vertex.

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers.

Front

What does it mean for a quadratic function to have two zeros?

Back

Having two zeros means the graph intersects the x-axis at two distinct points.

Front

What is the maximum point of a quadratic function?

Back

The maximum point is the vertex of a quadratic function that opens downwards, representing the highest value of the function.