Key Features of Quadratic Functions

Front

Define X-intercept

Back

Where the parabola touches or intersects the x-axis.

Front

Define Vertex

Back

The highest or lowest point on the graph.

Front

Define Axis Of Symmetry

Back

A line that divides the graph into two equal parts, cutting the graph in half.

Front

Determine the domain and range of the function: y = x^2 - 4.

Back

Domain: All real numbers, Range: y ≥ -4.

Front

Define Solution in the context of quadratic functions

Back

Where the parabola touches or intersects the x-axis, also called the x-intercept.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in a quadratic function determine?

Back

The direction of the parabola (opens upwards if a > 0, downwards if a < 0).

Front

What is the significance of the 'b' value in a quadratic function?

Back

It affects the position of the vertex along the x-axis.

Front

What is the formula to find the vertex of a quadratic function in standard form?

Back

Vertex: (-b/(2a), f(-b/(2a))).

Front

Define the term 'parabola'.

Back

A symmetric curve formed by the graph of a quadratic function.