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 + 14x + 50

Back

y = (x + 7)² + 1

Front

What is the vertex of this parabola? y = 2(x - 3)² + 4

Back

(3, 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

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

Back

y = (x - 1)² + 4

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does the 'a' in the vertex form f(x) = a(x - h)² + k represent?

Back

The vertical stretch or compression and the direction of the parabola (upward if a > 0, downward if a < 0).

Front

How do you find the vertex from the standard form of a quadratic equation?

Back

Use the formula h = -b/(2a) to find the x-coordinate, then substitute h back into the equation to find k.

Front

What is the axis of symmetry for the parabola in vertex form?

Back

x = h, where (h, k) is the vertex.

Front

Convert to vertex form: y = 2x² + 8x + 10

Back

y = 2(x + 2)² + 6