Complete the Square Practice

Front

Convert to vertex form: y = x² - 2x + 5

Back

y = (x - 1)² + 4

Front

Complete the square for x² - 14x + ____ (find the missing value)

Back

49

Front

Convert to vertex form: y = x² + 14x + 50

Back

y = (x + 7)² + 1

Front

In vertex form, f(x) = a(x - h)² + k, what does h stand for?

Back

the x-coordinate of the vertex

Front

Complete the square for x² + 12x + ____ (find the missing number)

Back

x² + 12x + 36

Front

What is the vertex form of a quadratic equation?

Back

f(x) = a(x - h)² + k, where (h, k) is the vertex.

Front

How do you find the value to complete the square for x² + bx?

Back

Take (b/2)² and add it to both sides.

Front

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

Back

It determines the direction and width of the parabola.

Front

What is the vertex of the parabola y = (x - 3)² + 2?

Back

(3, 2)

Front

How do you convert standard form to vertex form?

Back

Complete the square on the quadratic expression.