Completing the Square and Vertex Form Practice

Front

What is the vertex form of a quadratic equation?

Back

Front

Identify the 'b' value in the quadratic equation: y = 16x^2 - 8x - 24.

Back

The 'b' value is -8.

Front

How do you complete the square for the expression: x^2 + 10x + 25?

Back

Front

In the vertex form f(x) = a(x - h)^2 + k, what does 'k' represent?

Back

'k' represents the y-coordinate of the vertex.

Front

What constant should be added to complete the square for the expression: x^2 + 12x + __?

Back

The constant that should be added is 36.

Front

What is the standard form of a quadratic equation?

Back

Front

What does the 'a' value in the vertex form indicate about the parabola?

Back

'a' indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

How do you convert from standard form to vertex form?

Back

To convert, complete the square on the quadratic expression.

Front

What is the vertex of the parabola given by the equation: y = 2(x - 3)^2 + 4?

Back

The vertex is (3, 4).

Front

What is the axis of symmetry for the parabola in vertex form f(x) = a(x - h)^2 + k?

Back

The axis of symmetry is the vertical line x = h.