Convert from Standard to Vertex Form

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you convert from standard form to vertex form?

Back

To convert from standard form f(x) = ax² + bx + c to vertex form, complete the square.

Front

What is the process of completing the square?

Back

To complete the square, take the coefficient of x, divide it by 2, square it, and add/subtract it inside the equation.

Front

Convert f(x) = 2x² + 8x + 3 to vertex form.

Back

f(x) = 2(x + 2)² - 5.

Front

What is the vertex of the function f(x) = 3(x + 1)² - 8?

Back

The vertex is (-1, -8).

Front

Identify the vertex from the function f(x) = (x - 4)² - 15.

Back

The vertex is (4, -15).

Front

Convert f(x) = x² + 6x - 2 to vertex form.

Back

f(x) = (x + 3)² - 11.

Front

What does the 'a' value in vertex form indicate?

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

Convert f(x) = x² + 4x + 10 to vertex form.

Back

f(x) = (x + 2)² + 6.

Front

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

Back

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