In each case, write the given quadratic function in standard form :
Problem 1 :
f(x) = x2 - 4x + 5
Problem 2 :
f(x) = x2 + 8x - 10
Problem 3 :
f(x) = x2 - 7x - 8
Problem 4 :
f(x) = x2 + 12x
Problem 5 :
f(x) = 2x2 + 8x + 3
Problem 6 :
f(x) = -4x2 + 20x - 1
1. Answer :
f(x) = x2 - 4x + 5
f(x) = x2 - 2(x)(2) + 5
f(x) = x2 - 2(x)(2) + 22 - 22 + 5
f(x) = (x - 2)2 - 22 + 5
f(x) = (x - 2)2 - 4 + 5
f(x) = (x - 2)2 + 1
2. Answer :
f(x) = x2 + 8x - 10
f(x) = x2 + 2(x)(4) + 42 - 42 + 10
f(x) = (x + 4)2 - 42 + 10
f(x) = (x + 4)2 - 16 + 10
f(x) = (x + 4)2 - 6
3. Answer :
f(x) = x2 - 7x - 8
4. Answer :
f(x) = x2 + 12x
f(x) = x2 + 2(x)(6)
f(x) = x2 + 2(x)(6) + 62 - 62
f(x) = (x + 6)2 - 62
f(x) = (x + 6)2 - 36
5. Answer :
f(x) = 2x2 + 8x + 3
f(x) = 2(x2 + 4x) + 3
f(x) = 2[x2 + 2(x)(2) + 22 - 22] + 3
f(x) = 2[(x + 2)2 - 22] + 3
f(x) = 2[(x + 2)2 - 4] + 3
f(x) = 2(x + 2)2 - 8 + 3
f(x) = 2(x + 2)2 - 5
6. Answer :
f(x) = -4x2 + 20x - 1
f(x) = -4(x2 - 5x) - 1
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