Question

Find the y-coordinate of the vertex for the following function:
g(x) = x2 - 3x + 2

Answer 1

we found the x coordinate right? it is
\[\frac{3}{2}\] find the y coordinate by replacing x by
\[\frac{3}{2}\] to see what you get

Answer 2

you need the steps? it amounts to computing
\[(\frac{3}{2})^2-3\times \frac{3}{2}+2\]

Answer 3

we didn't find the x-coordinate. that was the axis of symmetry

Answer 4

if you do it carefully you should get
\[-\frac{1}{4}\]

Answer 5

that is also the first coordinate of the vertex.

Answer 6

oohh. ok thanks.

Answer 7

how would i find the y-intercept?

Answer 8

a bit confusing because when you write the axis of symmetry is
\[x=\frac{3}{2}\] you are thinking of the vertical line given by the equation, but when you write the vertex you are thinking that
\[x=\frac{3}{2}\] means x is the number
\[\frac{3}{2}\] and so the vertex is
\[(\frac{3}{2},-\frac{1}{4})\]

Answer 9

find the y intercept by setting x = 0 to see what you get
that is an easy one because if x = 0 then y = 2 pretty much by your eyeballs

Answer 10

thanks a lot. this was a lot of help.