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

How do you find the axis of symmetry for a quadratic function in the form f(x) = ax^2 + bx + c?

Back

The axis of symmetry can be found using the formula x = -b/(2a).

Front

Given the quadratic function f(x) = x^2 - 8x + 15, find the axis of symmetry.

Back

x = 4.

Front

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

Back

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

Front

What are the coordinates of the vertex for the quadratic function y = -x^2 + 4x - 6?

Back

(2, -2).

Front

How do you determine the vertex of a parabola from its standard form equation?

Back

The vertex can be found using the formula (h, k) where h = -b/(2a) and k = f(h).

Front

Identify the vertex of the quadratic function y = -x^2 - 4x + 12.

Back

(-2, 16).

Front

What is the significance of the vertex in a parabola?

Back

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

Front

For the function f(x) = x^2 - 4x + 4, what is the axis of symmetry?

Back

x = 2.

Front

What does it mean if the axis of symmetry is at x = -3?

Back

It means that the parabola is symmetric about the vertical line x = -3.