Completing the square

Front

What is the process of completing the square?

Back

Completing the square is a method used to convert a quadratic equation into a perfect square trinomial, making it easier to solve or graph.

Front

What is the vertex form of a quadratic equation?

Back

Front

What does the plus or minus symbol (±) indicate in solving equations?

Back

The plus or minus symbol indicates that there are two possible solutions, one for the positive case and one for the negative case, typically after taking the square root.

Front

How do you find the value to complete the square for a quadratic equation?

Back

To complete the square, take the coefficient of x (b), divide it by 2, and then square the result.

Front

Back

The first step is to move the constant term (c) to the other side of the equation.

Front

Back

Front

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

Back

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

Front

What is the standard form of a quadratic equation?

Back

Front

What do you do after completing the square to solve for x?

Back

After completing the square, take the square root of both sides and solve for x using the plus or minus symbol.

Front

What is the relationship between the coefficients and the vertex of a quadratic function?

Back