Axis of Symmetry and Vertex

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

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

Back

x = h, where (h, k) is the vertex of the parabola.

Front

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

Back

x = 2

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

What is the vertex of a parabola?

Back

The highest or lowest point on the graph of the parabola.

Front

How do you find the vertex of a quadratic equation in standard form?

Back

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

Front

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

Back

It indicates the maximum or minimum value of the function.

Front

What is the axis of symmetry for the quadratic function y = 2x² + 4x + 1?

Back

x = -1.

Front

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

Back

The axis of symmetry passes through the vertex of the parabola.

Front

What is the effect of the coefficient 'a' in the quadratic equation y = ax² + bx + c?

Back

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