anonymous
  • anonymous
A toy rocket was launched from the ground. The function f(x) = -16x2 + 160x shows the height of the rocket f(x), in feet, from the ground at time x seconds. What is the axis of symmetry of the graph of f(x), and what does it represent?
Algebra
katieb
  • katieb
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anonymous
  • anonymous
x = 10; it takes 10 seconds to reach the maximum height and 10 seconds to fall back to the ground x = 10; it takes 10 seconds to reach the maximum height and 20 seconds to fall back to the ground x = 5; it takes 5 seconds to reach the maximum height and 10 seconds to fall back to the ground x = 5; it takes 5 seconds to reach the maximum height and 5 seconds to fall back to the ground
campbell_st
  • campbell_st
the axis of symmetry is used in the general quadratic formula and is \[t = \frac{-b}{2 \times a}\] in your question a = -16 and b = 160 just substitute the values to axis of symmetry
campbell_st
  • campbell_st
the axis is symmetry is where the rocket reaches it's maximum height.

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anonymous
  • anonymous
okay so then you would want to put in either 5 or 10 into the equation?
campbell_st
  • campbell_st
|dw:1439929604987:dw| the vertex is where the rocket reaches its maximum height... so substitute the value from the axis of symmetry to get the max height
anonymous
  • anonymous
Ohhh okay so it would be the last one because the line of symmetry is 5 and it takes 5 seconds to get there and 5 more to go back down which is where they are getting the 10 ok
anonymous
  • anonymous
Thanks

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