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15 votes
10. Elliot was asked to: "Write the equation of the parabola with vertex (3.-5) and passes through the point (2. -8)."Elliot's work below is INCORRECT.y = a(x - 3)2-5-8= a(2-3)2-5-8 = a(1)-5-8= -4aa = 2y = 2(x - 3)2 - 5

User Shettyh
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1 Answer

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21 votes

Take Care and Stay Safe!!!Answer

Check Explanation

Step-by-step explanation

We are told to point out the error in the calculation steps taken by this individual

y = a (x - 3)² - 5

-8 = a (2 - 3)² - 5

-8 = a(1) - 5

-8 = -4a

a = 2

y = 2(x - 3)² - 5

On careful observation, the error is noticed on the fourth step.

a(1) - 5 ≠ -4a

Rather, this should have gone in the manner of

y = a (x - 3)² - 5

-8 = a (2 - 3)² - 5

-8 = a (-1)² - 5

-8 = a(1) - 5

-8 = a - 5

We can then rewrite this as

a - 5 = -8

a = -8 + 5

a = -3

y = -3 (x - 3)² - 5

Hope thios Helps!!!

User Liza
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