6th Flashcard 6 review completing the square

Front

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

Back

Move the constant term to the other side of the equation.

Front

How do you find the value to complete the square for the expression x^2 + bx?

Back

Take half of b, square it, and add it to both sides.

Front

What is the formula for completing the square for the quadratic equation ax^2 + bx + c?

Back

The completed square form is a(x + b/2a)^2 - (b^2 - 4ac)/4a.

Front

What does the term 'completing the square' refer to in algebra?

Back

It refers to the process of rewriting a quadratic expression in the form of a perfect square trinomial.

Front

Back

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

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

Back

Complete the square on the quadratic expression.

Front

Back

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: two real, one real, or no real roots.

Front

Back