Converting (ALL) Quadratic Forms

Front

What is the vertex form of a quadratic equation?

Back

y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

Front

Convert to Vertex Form: y = x² + 6x + 11

Back

y = (x + 3)² + 2

Front

Convert to Vertex Form: y = x² + 4x + 3

Back

y = (x + 2)² - 1

Front

Convert to Factored Form: x² + 5x - 24

Back

(x + 8)(x - 3)

Front

What is the y-intercept of f(x) = -2x² + 4x - 6?

Back

(0, -6)

Front

What does the vertex of a parabola represent?

Back

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

Front

How do you find the vertex from standard form?

Back

Use the formula h = -b/(2a) and k = f(h) to find the vertex (h, k).

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.

Front

What is the axis of symmetry in a quadratic function?

Back

The line x = h, where h is the x-coordinate of the vertex.

Front

How do you convert from standard form to vertex form?

Back

Complete the square on the quadratic expression.