Graphic: y-k=a(x-h)²
Step by step please
This is also called the completed square form. Let:
-x^(2) + 2x - 5 = y
=> -x^(2) + 2x = y + 5
Now complete the square:
=> -[x^(2) -2x] = y + 5
=> -[x - 1]^(2) - (-1)^(2) = y + 5
=> -[x - 1]^(2) - 1 = y + 5
=> -(x - 1)^(2) = y + 6
=> y + 6 = -(x -1)^(2)
which is of the form y-k = a(x-h)^(2) where k = -6, a = -1, h = 1
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
This is also called the completed square form. Let:
-x^(2) + 2x - 5 = y
=> -x^(2) + 2x = y + 5
Now complete the square:
=> -[x^(2) -2x] = y + 5
=> -[x - 1]^(2) - (-1)^(2) = y + 5
=> -[x - 1]^(2) - 1 = y + 5
=> -(x - 1)^(2) = y + 6
=> y + 6 = -(x -1)^(2)
which is of the form y-k = a(x-h)^(2) where k = -6, a = -1, h = 1