Completing the Square Practice

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 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 analyze and graph.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.

Front

How do you find the vertex of a parabola from its equation?

Back

The vertex (h, k) can be found using the formula h = -b/(2a) and k = f(h), where f(x) is the quadratic function.

Front

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

Back

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

Front

What does it mean for a quadratic to be in vertex form?

Back

A quadratic in vertex form allows for easy identification of the vertex and the direction of the parabola, facilitating graphing.

Front

How do you complete the square for the expression x² - 6x + 4?

Back

To complete the square, rewrite it as (x - 3)² - 5.

Front

What is the formula for completing the square?

Back

The formula for completing the square is: x² + bx = (x + b/2)² - (b/2)².

Front

What is the vertex of the parabola given by f(x) = (x + 8)²?

Back

The vertex of the parabola is (-8, 0).