Help please! The points (0,-14), (1,-3), (2,0), (3,5) are on a parabola. Write the function to represent this parabola.

Question

Help please!

The points (0,-14), (1,-3), (2,0), (3,5) are on a parabola. Write the function to represent this parabola.

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Philomena 5 years 2021-08-03T18:22:58+00:00 2 Answers 25 views 0

Answers ( )

  1. Farah
    0
    2021-08-03T18:24:07+00:00
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    Answer:

    y= -4x^2 + 15x – 14

    Step-by-step explanation:

  2. Edana
    0
    2021-08-03T18:24:29+00:00
    Reply

    Answer:

    y= -4x^2 + 15x – 14

    Step-by-step explanation:

    A parabola is always in the form y = ax^2 + bx + c.

    Substitute each point to produce different equations:

    -14 = 0a + 0b + c = c

    so c = -14

    -3 = a1^2 + b1 + c = a + b – 14

    so a + b = 11

    0 = a2^2 + b2 + c = 4a + 2b -14 = 0

    so 4a + 2b = 14

    if we double a + b = 11 we get 2a + 2b = 22

    Subtract this from 4a + 2b = 14 and we get 2a = -8 so a= -4 and b = 11 – a = 15

    We don’t need to use the (3,5) points as we have all the information we need.

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