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Hon Int Math 2 Notes (Sec.12-6)

1 What is the value of c such that x 2 + 14x + c is a perfect-square trinomial?

2 What is the value of c such that x 2 − 11x + c is a perfect-square trinomial?

Solve the equation by completing the square. Round to the nearest hundredth if necessary.

3 x 2 + 8x = −15 4 x 2 − 7x = 13

Find the vertex of each parabola by completing the square.

5 x 2 + 8x + 16 = y 6 x 2 − 6x + 8 = y

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7 A rocket is launched from atop a 65-foot cliff with an initial velocity of 113 ft/s. The height of the rocket above the ground at time t is given by h = −16t2 + 113t + 65. When will the rocket hit the ground after it is launched? Round to the nearest tenth of a second.

8 A campground consists of 8 square campsites arranged in a line along a beach. The distance from the edge of a campsite to the water at the end of the beach is 5 yd. The area of the campground, including the beach, is 1220 sq yd. What is the width of one campsite?