Free Printable PARABOLA

1.

Find the equation of the parabola with Focus at (7, 0) and directrix x = - 7.

a)

$y^2=-\ 28x$

b)

$y^2=7x$

c)

$y^2=28x$

d)

$y^2=4\left(x-7\right)$

2.

Find the equation of the parabola with Focus at (- 2,- 1) and Vertex (0, - 1).

a)

$\left(y+1\right)^2=-\ 8x$

b)

$\left(y+1\right)^2=\ 8x$

c)

$\left(y+1\right)^2=-\ 8\left(x-1\right)$

d)

$y^2=-\ 8\left(x+1\right)$

3.

Find the vertex of the parabola with the equation $3y\ +\ 4x\ =\ -\ 2x^2-14$

a)

(- 4, - 1)

b)

(1, - 4)

c)

(- 1, - 4)

d)

(1, 4)

4.

Identify the equation of the parabola.

a)

$y^2\ =\ -\left(x+3\right)^{ }-1$

b)

$y\ +1=\ -4\left(x+3\right)^2$

c)

$y\ =\ -\left(x+3\right)^2-1$

d)

$y\ =\ \left(x+3\right)^2-1$

5.

Solve for x and y.

$3y\ =\ x\ +\ 3$ $and\ \ \ \ y^2\ =\ 13\ +\ 2x$

a)

(18, 7) and (- 6, - 1)

b)

(- 18, 7) and (6, - 1)

c)

(- 6, 7)

d)

(18, - 7) and (6, - 1)

6.

The line x + 3y = 4 meets the curve $x^2-4x-4y=0$ at the points A and B. Find the coordinates of A and of B.

a)

(1.33, 1.78) and (0,4)

b)

(-1.33, 1.78)

and (4, 1)

c)

(- 1.33, 1.78)

and (4, 0)

d)

(-1.33, 1.78)

and (- 4, 0)

7.

Identify the Vertex and Focus of the parabola with the given equation $2y^2-16y-20x+72=0$

a)

V(4, 4) and

F(- 2, 4)

b)

V(- 2, 4) and

F(4, 4)

c)

V(4.5, 4) and

F(2, 4)

d)

V(2, 4) and F(4.5, 4)

8.

Write the equation of the parabola given that the Focus is (0, 6)

and the Directrix is y = - 6.

a)

$y^2=24x$

b)

$x^2=24y$

c)

$x^2=-\ 24y$

d)

$x^2=4\left(y-6\right)$

PARABOLA

Total questions: 8

Worksheet time: 1hrs 20mins

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