Vertex Form of a QUADRATIC Function REVIEW

Front

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

Back

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

Front

What does the 'a' value in the vertex form of a quadratic function 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 do you find the y-intercept of a quadratic function in vertex form?

Back

To find the y-intercept, set x = 0 in the vertex form equation f(x) = a(x-h)² + k and solve for f(0).

Front

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

Back

The range of a quadratic function that opens upwards is [k, ∞), where (h, k) is the vertex.

Front

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

Back

The range of a quadratic function that opens downwards is (-∞, k], where (h, k) is the vertex.

Front

How do you determine if the vertex is a maximum or minimum?

Back

If the parabola opens upwards (a > 0), the vertex is a minimum. If it opens downwards (a < 0), the vertex is a maximum.

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

To convert from standard form to vertex form, use the method of completing the square.

Front

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

Back

The vertex represents the highest or lowest point of the parabola, depending on its orientation.

Front

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

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h).