Complete the Square 2

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How do you convert a quadratic equation to vertex form?

Back

To convert a quadratic equation to vertex form, complete the square on the quadratic expression.

Front

What is the process of completing the square?

Back

Completing the square involves rewriting a quadratic in the form x² + bx as (x + b/2)² - (b/2)².

Front

What is the vertex of the parabola represented by the equation y = (x + 4)² - 14?

Back

The vertex of the parabola is (-4, -14).

Front

How do you find the missing number to complete the square for x² + 12x + ____?

Back

Take half of the coefficient of x (which is 12), square it (6² = 36), and add it to the equation.

Front

What is the completed square form of x² + 6x?

Back

The completed square form is (x + 3)² - 9.

Front

What does the term 'vertex' refer to in a quadratic function?

Back

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

Front

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

Back

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

Front

Convert the equation y = 6x² + 12x + 13 to vertex form.

Back

The vertex form is y = 6(x + 1)² - 7.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c.