anonymous
  • anonymous
Hello, need some help for this ASAP. (: Express y = 3x^2 - 4x + 5 in the form y = 3(x + a)^2 + k where a and k are constants. Hence, state the minimum value of y and state the value of x at which this occurs.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Thank you loads, Sam. (:
.Sam.
  • .Sam.
welcome :)
anonymous
  • anonymous
What about the part "state the minimum value of y and state the value of x at which this occurs"?

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.Sam.
  • .Sam.
The answer should be \[y=3x^{2} - 4x + 5\] \[y=3(x^{2}-\frac{4x}{3})+5\] \[y=3(x-\frac{4}{6})^{2}-\frac{16}{36}(3)+5\] \[y=3(x-\frac{4}{6})^{2}+\frac{19}{3}\]
.Sam.
  • .Sam.
Minimum at (2/3 , 19/3)
anonymous
  • anonymous
OK, thx! So I should write "Minimum at (4/6 , 19/3) at the bottom? Did you simplify 4/6 to 2/3?
.Sam.
  • .Sam.
yes
.Sam.
  • .Sam.
you should simplify 4/6 to 2/3
anonymous
  • anonymous
Oh! It can be simplified?
anonymous
  • anonymous
We can leave it simplified?
.Sam.
  • .Sam.
I guess your teacher want it to be simplified
anonymous
  • anonymous
Okay, thx so much!
.Sam.
  • .Sam.
welcome again :)

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