Completing Square Method

Front

What is the Completing Square Method?

Back

A technique used to convert a quadratic expression into a perfect square trinomial plus a constant.

Front

How do you complete the square for the expression x² + 4x + 10?

Back

Rewrite as (x + 2)² + 6.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

What value of c makes x² + 8x + c a perfect square trinomial?

Back

c = 16.

Front

How do you find the vertex of the quadratic equation y = 2(x + 3)² + 4?

Back

The vertex is (-3, 4).

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial, e.g., (x + a)².

Front

How do you convert the expression x² + 10x + 13 into completed square form?

Back

Rewrite as (x + 5)² - 12.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

How can you determine if a quadratic expression is a perfect square?

Back

Check if the discriminant (b² - 4ac) is zero.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0.