1. Solve (x β 3)2 = 5
For questions 2 β 3, complete the square. Leave your answer in the form...
Mathematics, 24.02.2020 03:10 Dtex
1. Solve (x β 3)2 = 5
For questions 2 β 3, complete the square. Leave your answer in the form ()2 = .
2. Complete the square for x2 β 6x = 5.
3. Complete the square for 3x2 β 6x = 21
For questions 4 β 5, solve the equation by completing the square and then solving for x.
4. x2 β 6x = 12 5. 2x2 β 24x = β20
6. Complete the square to rewrite y = x2 + 4x + 1 in vertex form.
7. The function y = β5x2 β 20x β 23 can be rewritten in vertex form as y = β5(x + 2)2 β 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 β 5.
9. A penguin starts on a slide 3 feet above the water. He slides down and glides underwater. The function y = x2 β 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 = β2(x β 2)2 + 4.
Find and interpret the zeros of this function.
Hint: Replace y with 0 and solve for x.
Interpretation:
Answers: 3
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