Parabola (Equations, lines and points)

Front

What are coordinates of the vertex of a parabola often represented by?

Back

(h, k)

Front

Find the vertex of f(x) = -x^2 - 4x + 12.

Back

(-2, 16)

Front

Does the quadratic y = -x^2 - 2x + 3 have a max/min vertex, and does the parabola open up/down?

Back

max/ opens down

Front

What is the vertex of the parabola represented by the equation y = -x^2 + 8x - 12?

Back

(4, 4)

Front

What form is the equation y = ax^2 + bx + c in?

Back

Standard Form

Front

What is the axis of symmetry for the parabola given by the equation y = 2x^2 + 4x + 1?

Back

x = -1

Front

What is the formula to find the vertex of a parabola in standard form?

Back

Vertex: (-b/2a, f(-b/2a))

Front

What does the 'a' value in the quadratic equation y = ax^2 + bx + c determine?

Back

The direction of the parabola (upward if a > 0, downward if a < 0).

Front

What is the y-intercept of the parabola given by the equation y = 3x^2 - 6x + 2?

Back

(0, 2)

Front

What is the vertex of the parabola represented by the equation y = 1/2(x - 4)^2 + 3?

Back

(4, 3)