Algebra 1 quadratic functions

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is given by f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you identify the vertex of the quadratic function y = (x - 1)² + 2?

Back

The vertex is (1, 2). This is derived from the vertex form f(x) = a(x - h)² + k.

Front

What does the 'a' value in the vertex form of a quadratic function indicate?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

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

How can you convert from standard form to vertex form?

Back

You can convert by completing the square.

Front

What is the quadratic formula used for?

Back

Front

What does the discriminant of a quadratic equation tell you?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

How do you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through it intersects the graph at most once (Vertical Line Test).

Front

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

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.