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## Warm Ups

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**Warm Ups**Saturday, August 16, 2014 Find the zeros of the function. Find the x-intercepts**Solving Quadratic Equation by Finding Square Roots**Saturday, August 16, 2014 Essential Question: How do we use the square root property?**Key Concept**• Isolate the radical. • Take the square root. • Simplify the radical.**Example**Solve the quadratic equation.**Guided Practice**Solve the quadratic equation.**Guided Practice**Solve the quadratic equation.**Guided Practice**Solve the quadratic equation.**Guided Practice**Solve the equation.**Falling Objects!**Key Concept Use h = -16t2 + h0 Height of the object after it has fallen Object’s initial height # of seconds after the object is dropped**Example**6. The tallest building in the USA is in Chicago, Illinois. It is 1450 ft. tall. How long would it take a penny to drop from the top of the building to the ground?**7. A rescue helicopter hovers 68 feet above a jet ski in**distress and drops a life raft. The height in feet of the raft above the water is given byh(t) = -16t2 + 68. Determine how long it will take for the raft to hit the water after being dropped from the helicopter. Solution: The raft will hit the water when its height is 0 feet above the water. Solve h(t) = -16t2 + 68 = 0. -16t2 + 68 = 0 Ignore the - 2.1. WHY? -16t2 = - 68 The life raft will hit about 2.1 seconds after it is dropped.**For a science competition, students must design a container**that prevents an egg from breaking when dropped from a height of 50 feet. How long does the container take to hit the ground? = t2 5016 50 = t2 + 16 Model a dropped object with a quadratic function 8. Science Competition Use h = – 16t 2 + 50 0 = – 16t 2 + 50 + 1.8 ≈t – 50 = – 16t 2 Reject the negative solution, – 1.8, because time must be positive. The container will fall for about 1.8 seconds before it hits the ground.