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15.

Do the data in the table represent a linear function? If so, write a rule for the function.
x –3 –2 –1 0 1
y 1 –2 –5 –8 –11

(1 point)

yes; y = –3x – 8
yes; y = 1/3x – 8
yes; y = 1/3x + 8
yes; y = 3x + 8

16.
Write a quadratic rule for the data in the table.

x –1 0 1 2 3
y 4 5 4 1 –4

(1 point)

y = –2x^2 + 5
y = –x^2 + 5
y = x^2 – 5
y = x^2 + 5

Can you please also explain how to solve this?

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  1. a. for each decrease of 3 in y,an increase of 1 in x.
    y=mx+b=-3/1 m +b
    and b..
    1=-3(-3)+b
    b=8

    b. y=ax^2+bx+c
    put in three different data points, solve for a, b, c.

  2. for the quadratic, note that

    f(-1) = f(1) = 4
    That means the vertex lies on the line x=0.

    y = a(x-0)^2 + c
    or,
    y = ax^2+5
    Now use one other point to get a:
    1 = 4a+5
    a = -1

    y = -x^2+5

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    posted by Steve

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