Question

Identify the vertex and the axis of symmetry for the graph y=3(x-3)^2+4

Answer 1

vertex is (3,4)

Answer 2

this is in the form
\[y=a(x-h)^2+k\] which is a parabola with vertex (h,k) so you just read off your answer

Answer 3

Would x=-3 or positive ?

Answer 4

no x = 3

Answer 5

reason as follows. if x = 3 then x-3=3-3 =0 so the square term is 0

Answer 6

and since the square term is a SQUARE the smallest it can be is zero. so the smallest y can be is 4, and it if 4 if x is 3