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Warm-up Unit 3 Day 4 How do you graph a line?
Simplify: 2π+1 3 π 2 βπ+2 3 π 2 π 5 π 22ππ ππ β See what you remember hereβ¦ How do you graph a line? How do you graph a parabola? Solve: 2π₯β5=3 π₯ 2 +2π₯β8
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Solving Nonlinear Systems
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If the graphs of a system of equations are a conic section and a straight line, the system will have zero, one, or two solutions. Examples no solution 1 solution solutions
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Find the points of intersection
y = x2 +2x+4 & y = 6x + 1 We will useβ¦.. Substitution. Now plug these values into the Equation to get y!! (3,19) and (1,7) are the points where the two graphs intersect. Check it on your calculator!
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Solve by substitution or Elimination:
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You Try!! π¦=5π₯β20 π¦= π₯ 2 β10π₯β20
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A rocket is launched from the ground and follows a parabolic path represented by the equation y = -x2 + 10x. At the same time, a flare is launched from a height of 10 feet and follows a straight path represented by the equation y = -x When and at what height does the flare and the rocket meet?
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A pelican flying in the air over water drops a crab from a height of 30 feet. The distance the crab is from the water as if falls can be represented by the function h(t) = -16t2 + 30, where t is time, in seconds. To catch the crab as it falls, a gull flies along a path represented by the function g(t) = -8t Can the gull catch the crab before it hits the water? Justify your answer.
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