The following equation is that of a parabola. Using its vertex and the direction in which it opens, solve for its domain and range, and tell if the given relation is a function or not.

y = - x² + 10x - 21

Write the equation of the parabola in standard form given the following conditions.

Vertex: (1, - 4); Focus: (1, - 9)

Consider the given conditions for a parabola and find the standard form of the equation. Focus: (-3, 0); Directrix: x =3

Choose the correct option for the graph, focus, and directrix of the parabola.

y² = -8x

Choose the correct option for the vertex, directrix, focus, and graph of the parabola.

(x +9)² = - 16(y + 3)

By completing the square, write the given equation into the standard form, and then identify the vertex, focus, and directrix of the parabola. Also, graph the parabola in a rectangular coordinate system.

x² + 10x - 12y + 13 = 0