What is the axis of symmetry of the function f(x) =-(x+9)(x-21)
2 answers:
Answer:
x = 6
Step-by-step explanation:
The given equation is
We write the equation in standard form of parabola using FOIL
Now, we know that the axis of symmetry passes through the vertex . Hence, in order to find the vertex of the parabola, we find the x coordinate of the vertex.
x coordinate of the vertex is
Here, a = -1 b = 12
Therefore, the axis of symmetry is x = 6
<span>f(x) =-(x+9)(x-21) Manipulating algebrically, We get, </span>f(x) =-(x+9)(x-21) = -(x^2 -21x + 9x - 189) = -(x^2 -12x - 189) = -x^2 + 12x + 189 Axis of symmetry = -b/2a plugging the values, x = -12/-2 = 6
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Answer:
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Step-by-step explanation:
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multiply both sides by 32: 8(32)/40 = x
x = 256/40
= 6.4
≈ 6
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Answer:
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Step-by-step explanation:
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