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What are the x intercepts to the question f of x equals -4 bracket x plus 1bracket to the power of 2 plus 3?
Wiki User
∙ 14y ago
f(x) = -4(x + 1)2 + 3
y = -4(x2 + 2x + 1) + 3
y = -4x2 - 8x - 4 + 3
y = -4x2 - 8x - 1 (set y equal to 0 to find the x-intercepts)
0 = -4x2 - 8x - 1
x =[-(-8) ± √[(-8)2 - 4(-4)(-1)]]/2(-4)
x =[8 ± √(64 - 16)]/-8
x =(8 ± √48)/-8
x =(8 ± 4√3)/-8
x = -1 ± -(1/2)√3
x = -1 - (1/2)√3 or x = -1 + (1/2)√3
x ≈ -1 - 0.87 or x ≈ -1 + 0.87
x ≈ -1.87 or x ≈ -0.13
Thus, the two x-intercepts are about -1.87 and -0.13.
Wiki User
∙ 14y ago
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