Solving for Vertex and Axis of Symmetry Flashcard

Front

What is the vertex of a parabola?

Back

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

Front

How do you find the y-coordinate of the vertex for a parabola in the form y = ax^2 + bx + c?

Back

The y-coordinate of the vertex can be found using the formula: y = f(-b/(2a)).

Front

What is the axis of symmetry for a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula: x = -b/(2a).

Front

Given the parabola y = -2x^2 + 4x - 3, what is the y-coordinate of the vertex?

Back

5

Front

Identify the vertex of the parabola y = 2x^2 - 8x + 6.

Back

The vertex is (2, -2).

Front

Identify the vertex of the parabola y = -3x^2 + 12x - 9.

Back

The vertex is (2, 3).

Front

Identify the vertex of the parabola y = x^2 - 4x + 3.

Back

The vertex is (2, -1).

Front

Calculate the axis of symmetry for the parabola y = -x^2 + 6x - 9.

Back

x = 3.

Front

What does the coefficient 'a' in the quadratic equation y = ax^2 + bx + c indicate about the parabola?

Back

The coefficient 'a' indicates the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c.