Axis of Symmetry and Vertex

Front

What is the equation for the axis of symmetry in a parabola?

Back

x = -b/(2a) where the quadratic equation is in the form ax² + bx + c.

Front

What is the vertex of a parabola?

Back

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

Front

Find the axis of symmetry for the quadratic function f(x) = x² - 8x + 15.

Back

x = 4.

Front

What does the axis of symmetry represent in a parabola?

Back

It is the vertical line that divides the parabola into two mirror-image halves.

Front

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

Back

x = 2.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.

Front

How do you find the vertex of a parabola given in standard form?

Back

Use the formula (h, k) where h = -b/(2a) and k = f(h).

Front

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

Back

It determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What is the axis of symmetry for the parabola defined by the equation y = 2x² + 4x + 1?

Back

x = -1.

Front

What is the relationship between the vertex and the axis of symmetry?

Back

The vertex lies on the axis of symmetry.