Finding Axis of Symmetry & Vertex from a Function

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function, given by the coordinates (h, k) in the vertex form y = a(x - h)² + k.

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form of the quadratic equation y = ax² + bx + c.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax² + bx + c, where a, b, and c are constants.

Front

What is the vertex of the function f(x) = 2x² - 8x + 6?

Back

The vertex is (2, -2).

Front

What is the axis of symmetry for the function f(x) = x² + 4x + 3?

Back

The axis of symmetry is x = -2.

Front

What does the 'a' value in the quadratic function y = ax² + bx + c indicate?

Back

The 'a' value indicates the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

How can you determine if a vertex is a maximum or minimum?

Back

If 'a' is positive, the vertex is a minimum point; if 'a' is negative, the vertex is a maximum point.

Front

What is the vertex of the function f(x) = -3x² + 6x + 1?

Back

The vertex is (1, 4).

Front

How do you convert from standard form to vertex form?

Back

To convert from standard form y = ax² + bx + c to vertex form y = a(x - h)² + k, complete the square.

Front

What is the axis of symmetry for the function f(x) = 5x² - 10x + 3?

Back

The axis of symmetry is x = 1.