Convert 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, you can complete the square.

Front

What is the vertex of the parabola represented by the equation y = 3(x - 4)² + 5?

Back

The vertex is (4, 5).

Front

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

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width (narrower if |a| > 1, wider if |a| < 1).

Front

What is the axis of symmetry for the parabola y = (x + 3)² - 2?

Back

The axis of symmetry is x = -3.

Front

What is the standard form of the quadratic function f(x) = (x - 2)² + 3?

Back

The standard form is f(x) = x² - 4x + 1.

Front

Identify the vertex of the parabola given by y = -2(x + 1)² + 4.

Back

The vertex is (-1, 4).

Front

What is the significance of the vertex in a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on the direction it opens.

Front

Convert the equation y = x² + 6x + 8 into vertex form.

Back

y = (x + 3)² - 1.

Front

What is a parabola?

Back

A parabola is the graph of a quadratic function, which is U-shaped and can open upwards or downwards.