Completing the Square

Front

What is the formula to calculate the new C-term when completing the square?

Back

Front

Complete the square for the equation: x^2 + 6x = 5.

Back

(x + 3)^2 = 14.

Front

Find the last term in the expression: x^2 + 22x + c.

Back

The last term is 121.

Front

What value of 'c' completes the square for the expression: x^2 - 2x + c?

Back

c = 1; the expression can be rewritten as (x - 1)^2.

Front

Solve the equation by completing the square: x^2 - 4x = 5.

Back

The solutions are 5 and -1.

Front

What is the first step in completing the square for a quadratic equation?

Back

Rearrange the equation to isolate the constant term on one side.

Front

How do you find the vertex of a parabola given in standard form?

Back

The vertex can be found using the formula: (h, k) where h = -b/(2a) and k is the value of the function at h.

Front

What does it mean to complete the square?

Back

Completing the square involves rewriting a quadratic expression in the form of a perfect square trinomial.

Front

What is the standard form of a quadratic equation?

Back

The standard form is: y = ax^2 + bx + c.

Front

How do you convert a quadratic equation from standard form to vertex form?

Back

By completing the square, you can rewrite it as y = a(x - h)^2 + k.