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anonymous

  • one year ago

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?

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  1. anonymous
    • one year ago
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    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

  2. campbell_st
    • one year ago
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    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

  3. campbell_st
    • one year ago
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    the axis is symmetry is where the rocket reaches it's maximum height.

  4. anonymous
    • one year ago
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    okay so then you would want to put in either 5 or 10 into the equation?

  5. campbell_st
    • one year ago
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    |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

  6. anonymous
    • one year ago
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    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

  7. anonymous
    • one year ago
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    Thanks

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