Complete the Square Practice

Front

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

Back

y = (x + 2)² + 6

Front

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

Back

y = (x - 1)² + 4

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 + 6x + ____ (find the missing value)

Back

9

Front

What is the first step to converting y = x² + 10x + 21 to vertex form?

Back

Subtract 21 on both sides

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 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 find the y-coordinate of the vertex from standard form?

Back

Use the formula k = f(-b/2a) where f(x) is the quadratic function.