Question: 1 . Solve ( x - 3) 2 = 5 For questions 2 - 3, complete the square. Leave your answer in the form(_____) 2
1. Solve (x- 3)2= 5
For questions 2 - 3, complete the square. Leave your answer in the form(_____)2= _____.
2. Complete the square forx2- 6x= 5.
3. Complete the square for 3x2- 6x= 21.
For questions 4 - 5, solve the equation by completing the square and then solving forx.
4.
x2- 6x= 12
5.
2x2- 24x= -20
6. Complete the square to rewritey=x2+ 4x+ 1 in vertex form.
7. The functiony= -5x2- 20x- 23 can be rewritten in vertex form asy= -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 ofy=x2+ 12x- 5.
9. A penguin starts on a slide 3 feet above the water. He slides down and glides underwater. The functiony=x2- 4x+ 3shows his path, whereyis his height above or below the water, in feet, andxis the horizontal distance. Complete the square to find and interpret the extreme value (vertex).
9. A penguin starts on a slide 3 feet above the water. He slides down and glides underwater. The functiony=x2- 4x+ 3shows his path, whereyis his height above or below the water, in feet, andxis 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, wherexis the price of a taco (in dollars) andyis the daily profit (in hundreds of dollars):y= -2(x- 2)2+ 4.
Find and interpret the zeros of this function.
Hint:Replaceywith 0 and solve forx.
Interpretation:
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