Vertex Form Practice

Front

What is the vertex form of a quadratic equation?

Back

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

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola represents the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

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

Back

The axis of symmetry for a parabola in vertex form f(x) = a(x - h)² + k is the vertical line x = h.

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it means that the vertex is a minimum point and the values of the function increase as you move away from the vertex.

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it means that the vertex is a maximum point and the values of the function decrease as you move away from the vertex.

Front

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

Back

You can determine if the vertex is a maximum or minimum by looking at the coefficient 'a' in the vertex form: if 'a' is positive, the vertex is a minimum; if 'a' is negative, the vertex is a maximum.

Front

What is the process to convert standard form to vertex form?

Back

To convert standard form to vertex form, you can complete the square on the quadratic expression.

Front

What is the significance of the 'a' value in the vertex form?

Back

The 'a' value in the vertex form affects the width and direction of the parabola: larger absolute values of 'a' make the parabola narrower, while smaller absolute values make it wider.

Front

If a parabola has a vertex at (h, k), what is the equation of the axis of symmetry?

Back

The equation of the axis of symmetry is x = h.

Front

What is the y-intercept of a parabola in vertex form?

Back

The y-intercept can be found by substituting x = 0 into the vertex form equation f(x) = a(x - h)² + k.