Vertex Form Review

Front

What is Vertex Form in quadratic equations?

Back

Vertex Form is a way of expressing a quadratic function as f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you complete the square for the expression x² + 6x + 5?

Back

To complete the square, rewrite it as (x + 3)² - 4.

Front

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

Back

The vertex is (3, 4).

Front

Convert f(x) = 3x² + 6x - 5 to vertex form.

Back

f(x) = 3(x + 1)² - 8.

Front

What is the process of converting a quadratic function to vertex form?

Back

The process involves completing the square and rewriting the function in the form f(x) = a(x - h)² + k.

Front

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

Back

The 'a' represents 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

The vertex can be found using the formula (h, k) where h = -b/(2a) and k = f(h).

Front

What is the vertex of the parabola given by f(x) = 4(x - 4)² - 62?

Back

The vertex is (4, -62).

Front

What is the significance of the vertex in a parabola?

Back

The vertex represents the highest or lowest point of the parabola, depending on its orientation.

Front

How do you convert the expression x² + 10x - 4 into vertex form?

Back

Complete the square to get (x + 5)² - 29.