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FORM QUADRATIC EQUATION WITH THE FOLLOWING INFO?
f(3 + sqrt2) = f(3 - sqrt2) = 0
f(1)=-8
1 Answer
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- stanschimLv 71 month agoFavorite Answer
The roots tell us that the vertex is at x = 3 (right in the middle of the two roots).
Using vertex form:
y = a(x - 3)^2 + k
Plugging in x = 3 + √2
0 = 2a + k
Plugging in x = 1
-8 = 4a + k
Subtracting these two equations gives:
8 = -2a
a = -4
Substituting to find k
-8 = 4(-4) + k
-8 = -16 + k
k = 8
y = -4(x - 3)^2 + 8
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