3.1 and 3.2 Practice

Front

What is the axis of symmetry for a parabola in standard form?

Back

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

Front

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

Back

In vertex form, y = a(x-h)^2 + k, the axis of symmetry is the line x = h.

Front

What is the vertex of a parabola in standard form?

Back

The vertex can be found using the formula (h, k) where h = -b/(2a) and k is the value of the function at h.

Front

What does a minimum point of a parabola represent?

Back

A minimum point represents the lowest point on the graph of the function, indicating the minimum value of the function.

Front

What does a maximum point of a parabola represent?

Back

A maximum point represents the highest point on the graph of the function, indicating the maximum value of the function.

Front

How can you convert a quadratic function from standard form to vertex form?

Back

You can complete the square to rewrite the quadratic function in vertex form.

Front

What is the significance of the 'a' value in a quadratic function?

Back

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

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax^2 + bx + c.

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you determine if a parabola opens upwards or downwards?

Back

If the 'a' coefficient in the quadratic function is positive, the parabola opens upwards; if negative, it opens downwards.