Parabolas: 동영상 및 연습문제

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.

x = - 8(y - 5)² + 9

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

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.

y² + 4y - x - 3 = 0

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

Focus (- 1, 5), Directrix: y = 3

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

Focus (6, 1), Directrix: x = - 4

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

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

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

Focus (0, - 10), Directrix: y = 10

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

Focus (0, 12), Directrix: y = - 12

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

Focus: (- 11, 0); Directrix: x = 11

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

Focus: (3, 0); Directrix: x = - 3

Without completing the square, determine the given equation.

x² -2x -4y +29 =0

A nondegenerate conic section of the form is given. Distinguish the conic section represented, without completing the square. 4x²- y²/6 + 8x + 3y = 0

A nondegenerate conic section of the form is given. Distinguish the conic section represented, without completing the square. x²+4y²+2x+4y+6 = 0

Consider the given conditions for a parabola and find the standard form of the equation. Focus: (0, 6); Directrix: y = -6

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

Draw the parabola on the coordinate system after finding the vertex, focus, and directrix of the parabola. y² = 16x

Draw the parabola on the coordinate system after finding the vertex, focus, and directrix of the parabola. (y+1)²= -4x

Draw the parabola on the coordinate system after finding the vertex, focus, and directrix of the parabola. (x+2)²= 4(y-2)

Draw the parabola on the coordinate system after finding the vertex, focus, and directrix of the parabola. x² -10x + 4y = 29

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

y² = 8x

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

x² = 8y

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

x² = -8y

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

y² = -8x

For the following equation of a parabola, solve for the focus and directrix, and then graph.

y² = 24x

For the following equation of a parabola, solve for the focus and directrix, and then graph.

y² = - 24x

For the following equation of a parabola, solve for the focus and directrix, and then graph.

x² = 24y

For the following equation of a parabola, solve for the focus and directrix, and then graph.

x² = - 24y

For the following equation of a parabola, solve for the focus and directrix, and then graph.

y² - 44x = 0

For the following equation of a parabola, solve for the focus and directrix, and then graph.

18x² + 9y = 0

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

(y - 9)² = 16(x - 3)