leslieadowty332 leslieadowty332
  • 13-09-2020
  • Mathematics
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Write an equation of the parabola in intercept form that passes through (-2,0.05) with x-intercepts of -7 and -3.

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sqdancefan
sqdancefan sqdancefan
  • 13-09-2020

Answer:

  y = 0.01(x +7)(x +3)

Step-by-step explanation:

For intercepts p and q, the equation will be ...

  y = a(x -p)(x -q)

For the given intercepts, the equation is ...

  y = a(x +7)(x +3)

We can find the value of 'a' by using the given point:

  0.05 = a(-2+7)(-2+3) = 5a

  0.01 = a . . . . divide by 5

The complete equation is ...

  y = 0.01(x +7)(x +3)

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