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Arada [10]
3 years ago
5

12. (24.4D) For what value of c will the graphs of

Mathematics
1 answer:
weqwewe [10]3 years ago
5 0

Answer:

c=144

Step-by-step explanation:

we have

y=2x^2-36x+c ---> equation A

y=2(x-9)^2-18 ---> equation B

Convert the equation A into vertex form and then compare with equation B

we have

y=2x^2-36x+c

Factor 2 leading coefficient

y=2(x^2-18x)+c

Complete the square

y=2(x^2-18x+81)+c-162

Rewrite as perfect squares

y=2(x-9)^2+(c-162)

Compare with equation B

c-162=-18

solve for c

c=-18+162

c=144

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