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givi [52]
4 years ago
8

Which of the graphs below represent the function f(x) = x3 − 5x2 + 2x + 8? You may sketch the graph to compare. graph going thro

ugh x axis at negative 2, positive 1, and 3. Passes through y axis at 6. graph going through x axis at negative 1, positive 2, and 4. Passes through y axis at 8. graph going through x axis at negative 2, positive 1, and 3. Passes through y axis at negative 6. graph going through x axis near negative 2. Passes through y axis at 8.

Mathematics
1 answer:
maks197457 [2]4 years ago
7 0
Hello,

Answer is  E: Passes through y axis at 8.

x-intercepts are (-1,0),(2,0),(4,0)
y-intercepts is 8


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Answer:

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equation of a parabola in vertex form:  y = a(x - h)² + k

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Substituting the given vertex (-3, -18) into the equation:

y = a(x + 3)² - 18

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To find the x-intercepts, set the equation to 0 and solve for x:

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Add 18 to both sides:     2(x + 3)² = 18

Divide both sides by 2:    (x + 3)² = 9

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BC = [2-4,0-5]=[-2,-5]
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Lenght  CD=\sqrt{(-7)^2+(-2)^2}=\sqrt{49+4}=\sqrt{53}

DA =[-5-(-5),-2-5]=[0,-7]
Lenght DA=\sqrt{0^2+(-7)^2}=\sqrt{49}=7

sorted from longest to shortest:
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