Question

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.

Answer 1

Thank you loads, Sam. (:

Answer 2

welcome :)

Answer 3

What about the part "state the minimum value of y and state the value of x at which this occurs"?

Answer 4

The answer should be
\[y=3x^{2} - 4x + 5\]
\[y=3(x^{2}-\frac{4x}{3})+5\]
\[y=3(x-\frac{4}{6})^{2}-\frac{16}{36}(3)+5\]
\[y=3(x-\frac{4}{6})^{2}+\frac{19}{3}\]

Answer 5

Minimum at (2/3 , 19/3)

Answer 6

OK, thx! So I should write "Minimum at (4/6 , 19/3) at the bottom? Did you simplify 4/6 to 2/3?

Answer 7

yes

Answer 8

you should simplify 4/6 to 2/3

Answer 9

Oh! It can be simplified?

Answer 10

We can leave it simplified?

Answer 11

I guess your teacher want it to be simplified

Answer 12

Okay, thx so much!

Answer 13

welcome again :)