Characteristics 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 is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c.

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 the direction of the parabola.

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts, set the quadratic function equal to zero and solve for x.

Tags

CCSS.HSF-IF.C.7A

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 formula x = -b/(2a).

Front

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

Back

The range is all real numbers greater than or equal to the y-coordinate of the vertex.

Tags

CCSS.HSF-IF.C.7A

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, expressed as (-∞, ∞).

Front

What does it mean for a quadratic function to be increasing or decreasing?

Back

A quadratic function is increasing on the interval to the right of the vertex and decreasing on the interval to the left of the vertex.

Tags

CCSS.HSF-IF.C.7A

Front

What are the characteristics of the graph of a quadratic function?

Back

The graph of a quadratic function is a parabola that can open upwards or downwards, has a vertex, an axis of symmetry, and may have x-intercepts.

Tags

CCSS.HSF-IF.C.7A

Front

What is the significance of the coefficients a, b, and c in a quadratic function?

Back

The coefficient 'a' determines the direction and width of the parabola, 'b' affects the position of the vertex, and 'c' represents the y-intercept.

Tags

CCSS.HSF-IF.C.7A