Vertex Form -- Quadratics

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola represents the highest or lowest point of the graph, depending on the direction it opens.

Front

How do you find the vertex from the vertex form equation y = a(x - h)² + k?

Back

The vertex can be found directly as (h, k) from the equation.

Front

What is the significance of the 'a' value in the vertex form?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

If the equation is y = 2(x + 3)² - 5, what is the vertex?

Back

The vertex is (-3, -5).

Front

What is a parabola?

Back

A parabola is the graph of a quadratic function, which is U-shaped and can open upwards or downwards.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that passes through the vertex, dividing the parabola into two mirror-image halves.

Front

How can you convert standard form to vertex form?

Back

You can convert standard form (y = ax² + bx + c) to vertex form by completing the square.

Front

What is the formula to find the x-coordinate of the vertex from standard form?

Back

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

Front

If a parabola opens upwards, what can you say about its vertex?

Back

If a parabola opens upwards, the vertex is the minimum point of the graph.