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Graph each quadratic function
Y=x to the power of 2+4x-4

Sagot :

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Panoyin
y = x² + 4x - 4
x² + 4x - 4 = 0
x = -(4) +/- √((4)² - 4(1)(-4))
                     2(1)
x = -4 +/- √(16 + 16)
                   2
x = -4 +/- √(32)
              2
x = -4 +/- 4√(2)
              2
x = -2 + 2√(2)
x = -2 + 2√(2)    x = -2 - 2√(2)
y = x² + 4x - 4
y = (-2 + 2√(2))² + 4(-2 + 2√(2)) - 4
y = (4 - 4√(2) + 8) + (-8 + 8√(2)) - 4
y = 4 + 8 - 8 - 4 - 4√(2) + 8√(2)
y = 4√(2)
(x, y) = (-2 + 2√(2), 4√(2))
or
y = x² + 4x - 4
y = (-2 - 2√(2))² + 4(-2 - 2√(2)) - 4
y = (4 + 4√(2) + 8) + (-8 - 8√(2)) - 4
y = 4 + 8 - 8 - 4 + 4√(2) - 8√(2)
y = -4√(2)
(x, y) = (-2 - 2√(2), -4√(2))
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