Completing the Square and Vertex Form Practice

Front

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

Back

The y-coordinate of the vertex.

Front

Complete the Square and write in Vertex Form: f(x) = x² + 6x + 5

Back

(x + 3)² - 4

Front

Identify the vertex and whether the graph opens up or down for the function f(x) = a(x - h)² + k.

Back

The vertex is (h, k); the graph opens up if a > 0 and down if a < 0.

Front

Complete the square and write in Vertex Form: f(x) = x² + 4x + 9

Back

f(x) = (x + 2)² + 5

Front

What do you do to the b value to correctly complete the square?

Back

Divide it by 2 and square the result.

Front

What is the vertex of the parabola given by f(x) = 2(x + 5)² - 3?

Back

The vertex is (-5, -3).

Front

How do you determine if a parabola opens up or down?

Back

If the coefficient a in f(x) = a(x - h)² + k is positive, it opens up; if negative, it opens down.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c.

Front

Convert the quadratic function f(x) = 3x² + 12x + 7 into vertex form.

Back

f(x) = 3(x + 2)² - 5.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.