What is the equation, in standard form, of a parabola that models the values in the table?
1 answer:
<span> f(x) = ax^2 + bx + c
f(0) = ax^2 + bx + c = 5, c = 5
f(-2) = 4a + -2b + 5 = 1 ----------(1)
f(4) =16a + 4b + 5 = -59 ----------(2)
4a -2b = -4
</span><span>16a + 4b = -64
16a + 4(-2-2a)= -64
16a - 8 - 8a = -64
8a = -56
<span>a = 7
</span>4a - 2b = -4
28 - 2b = -4
b = 16
</span><span>f(x) = 7x^2 + 16x + 5</span>
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