FOM2 Final Review: Quadratics

Front

In Vertex Form, what does the k term tell you?

Back

The k term indicates the y-value of the vertex and shows the vertical shift of the parabola (up/down).

Front

Where is the axis of symmetry for a parabola with vertex at (-3,2)?

Back

The axis of symmetry is x = -3.

Front

Given the equation y = 2(x - 5)² + 6, what is the vertex?

Back

The vertex is (5, 6).

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers.

Front

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

Back

The range is y ≤ k, where k is the maximum y-value (vertex).

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex.

Front

How do you find the y-intercept of a quadratic function?

Back

Set x = 0 in the equation and solve for y.

Front

What does the 'a' value in the vertex form indicate?

Back

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

Front

What is the significance of the vertex in a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its direction.

Front

How do you determine if a quadratic function opens upwards or downwards?

Back

If 'a' in the vertex form y = a(x - h)² + k is positive, it opens upwards; if negative, it opens downwards.