Name______________________________________________
Parabola Practice and Review
Date_________
CCA2 Per_____
1. Write the equation of a parabola with a focus of (0, -7) and directrix of y = 7. Sketch a graph of the parabola on the
axes provided.
2. Identify the vertex, focus, and directrix of the parabola:
1
4
a) y   ( x  2) 2  1
b) x 
1
( y  3) 2  1
16
3. Write the equation of a parabola using the given information. Sketch a graph of the parabola on the axes provided.
a) focus: (3,0), directrix: x = -3
4. Identify the vertex, focus, and directrix of each parabola:
a) x = -3(y + 4)2 + 2
b) y = 4(x - 3)2 – 8
b) directrix: x = -10, vertex: (0,0)
5. Write the equation of a parabola using the given information. Sketch a graph of the parabola on the axes provided.
a) focus: (2, 2), vertex: (2, 6)
b) vertex: (2, 0), directrix: x = -2
6. Identify the vertex, focus, and directrix of the parabola:
1
( x  3) 2  2
8
Do the rest of these questions in your notebook.
( x  3) 2  ( y  2) 2  1
7. Solve the system of equations algebraically:
y  x2
8. Without solving, determine the number of real solutions for the quadratic equation: 4q + 7 = q2 – 5q + 1
9. Solve using the quadratic formula. Leave your answer in simplest radical form: 4 x 2  4 x  8  1
10. Solve by completing the square. If necessary, round your answer to the nearest tenth: 7b 2  14b  56  0