Axis of Symmetry and Vertex

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the point where the parabola changes direction. It is the highest or lowest point of the graph, depending on whether it opens upwards or downwards.

Front

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

Back

For a quadratic function in the form y = ax^2 + bx + c, the vertex can be found using the formula: x = -b/(2a). Substitute this x-value back into the function to find the y-coordinate.

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 and can be expressed as x = h, where h is the x-coordinate of the vertex.

Front

Find the vertex of the parabola represented by the equation y = 2x^2 - 8x + 6.

Back

The vertex is (2, -2).

Front

What is the formula for the axis of symmetry for the quadratic function y = ax^2 + bx + c?

Back

The formula for the axis of symmetry is x = -b/(2a).

Front

Identify the vertex of the quadratic function y = -3x^2 + 12x - 5.

Back

The vertex is (2, 7).

Front

How does the value of 'a' in the quadratic function y = ax^2 + bx + c affect the direction of the parabola?

Back

If 'a' is positive, the parabola opens upwards. If 'a' is negative, the parabola opens downwards.

Front

Find the axis of symmetry for the function f(x) = x^2 + 4x + 3.

Back

The axis of symmetry is x = -2.

Front

What is the vertex of the quadratic function y = x^2 - 4x + 4?

Back

The vertex is (2, 0).

Front

Using the vertex formula, find the vertex of y = -x^2 + 6x - 8.

Back

The vertex is (3, 1).