Complete 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 the process of completing the square?

Back

Completing the square involves rewriting a quadratic expression in the form (x + p)² + q, by adding and subtracting the square of half the coefficient of x.

Front

Convert to vertex form: y = x² + 8x - 1

Back

y = (x + 4)² - 17

Front

Convert to vertex form: y = x² + 4x + 9

Back

y = (x + 2)² + 5

Front

Convert to vertex form: y = x² + 4x + 10

Back

y = (x + 2)² + 6

Front

What is the missing value to complete the square for x² - 14x + ____?

Back

49

Front

What is the missing number to complete the square for x² + 12x + ____?

Back

36

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola represents the maximum or minimum point of the quadratic function.

Front

What is the significance of the coefficient 'a' in the vertex form?

Back

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