Axis of Symmetry and Vertex

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It passes through the vertex.

Front

If a parabola has a vertex at (-3, 2), what is the equation of its axis of symmetry?

Back

x = -3

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a parabola, depending on its orientation.

Front

How do you find the vertex of the quadratic function y = x² - 6x + 11?

Back

Use the formula x = -b/(2a). Here, a = 1 and b = -6, so x = 3. Substitute x back into the equation to find y, giving the vertex (3, 2).

Front

What does the green dot on a parabola represent?

Back

The green dot represents the vertex of the parabola.

Front

What is the maximum point of a parabola?

Back

The maximum point is the vertex of a downward-opening parabola, where the value of y is the highest.

Front

What is the minimum point of a parabola?

Back

The minimum point is the vertex of an upward-opening parabola, where the value of y is the lowest.

Front

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

Back

If the coefficient of x² is positive, the parabola opens upwards. If it is negative, the parabola opens downwards.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.

Front

What is the vertex form of a quadratic function?

Back

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