FOM2 Final Review: Quadratics

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

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 (narrower if |a| > 1, wider if |a| < 1).

Front

Back

This transformation reflects the parabola over the x-axis, shifts it left by 3 units, and moves it up by 6 units.

Front

What is the domain of any parabola?

Back

The domain of any parabola is all real numbers.

Front

What does the 'h' term in the vertex form represent?

Back

The 'h' term represents the x-coordinate of the vertex and indicates a horizontal shift; it is the opposite sign of the value in the equation.

Front

What is the range of a parabola that opens downward?

Back

The range of a downward-opening parabola is from negative infinity to the y-coordinate of the vertex.

Front

How do you find the axis of symmetry for a parabola in vertex form?

Back

The axis of symmetry can be found using the formula x = h, where (h, k) is the vertex of the parabola.

Front

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

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upward or downward.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is given by: f(x) = ax² + bx + c.

Front

How can you convert from standard form to vertex form?

Back

You can convert from standard form to vertex form by completing the square.