# Am i right?

can you quickly see if i'm right, because im not positive ive done it correctly...

thnx

## Homework Statement

The equation of a curve is $$y=f(x)$$, where $$f(x) = x^2 - 6x + 14$$.

Find the coordinates of the minimum point , $$M$$, of the curve

## The Attempt at a Solution

I completed the square to get

$$y=(x-3)^2 + 5$$

then i used my knowledge of transformation of function to work out the answer is $$(3,5)$$

however, im not sure i did it right, im pretty sure the y-coordinate is right, but the x-coordinate may be wrong...

can you help?

## Answers and Replies

You are right.

yay! thnx buddy :D

HallsofIvy
Science Advisor
Homework Helper
Look at the reasoning: if x= 3, then obviously y= (3-3)2+ 5= 0+ 5= 5. If x is any number other than 3, (x-3)2 is positive so (x-3)2+ 5 is larger than 5.

o rite thnx for that, i never realised why it worked out the way it did :D

cheers lol

i just went on my transformation of function graph knowledge without understanding it hehe, silly teachers