Axis Of Symmetry

Front

What is the axis of symmetry?

Back

The axis of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

Front

What is the equation for the axis of symmetry of a quadratic function in the form y = ax^2 + bx + c?

Back

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

Front

For the quadratic function y = 3x^2 - 6x + 4, what is the axis of symmetry?

Back

x = 1.

Front

How do you determine if a quadratic function has a maximum or minimum value?

Back

If the coefficient of x^2 (a) is positive, the function has a minimum value. If a is negative, it has a maximum value.

Front

What is the axis of symmetry for the function f(x) = x^2 - 10x + 15?

Back

x = 5.

Front

What does the axis of symmetry represent in a graph of a quadratic function?

Back

It represents the vertical line that passes through the vertex of the parabola, indicating the point where the graph is symmetric.

Front

If a quadratic function opens upwards, what can be said about its vertex?

Back

The vertex is the minimum point of the graph.

Front

If a quadratic function opens downwards, what can be said about its vertex?

Back

The vertex is the maximum point of the graph.

Front

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

Back

x = -1.

Front

How can you find the axis of symmetry from a graph?

Back

You can find the axis of symmetry by identifying the vertex of the parabola and drawing a vertical line through that point.