1. Solve (x – 3)2 = 5
For questions 2 – 3, complete the square. Leave your answer in the form ()2 = .
2. Complete the square for x2 – 6x = 5.

3. Complete the square for 3x2 – 6x = 21
For questions 4 – 5, solve the equation by completing the square and then solving for x.

4. x2 – 6x = 12 5. 2x2 – 24x = –20

6. Complete the square to rewrite y = x2 + 4x + 1 in vertex form.

7. The function y = –5x2 – 20x – 23 can be rewritten in vertex form as y = –5(x + 2)2 – 3.

The function opens ( up / down ). The vertex is a ( maximum / minimum ) at (, )
8. Complete the square to find the zeros of y = x2 + 12x – 5.

9. A penguin starts on a slide 3 feet above the water. He slides down and glides underwater. The function y = x2 – 4x + 3 shows his path, where y is his height above or below the water, in feet, and x is the horizontal distance. Complete the square to find and interpret the extreme value (vertex).

Interpretation:

10. The profit for a taco truck business follows this function, where x is the price of a taco (in dollars) and y is the daily profit (in hundreds of dollars): y = –2(x – 2)2 + 4.
Find and interpret the zeros of this function.
Hint: Replace y with 0 and solve for x.
Interpretation: