Question

What is the vertex of the graph of y = 2(x − 3)2 + 4?

(4, 3)

(4, −3)

(3, 4)

(−3, 4)

Answer 1

Recall that the vertex form of a parabola is \(\displaystyle y=a(x-h)^2+k\) where \((h,k)\) is the vertex. So in your case, what is \((h,k)\)? :-)

Answer 2

Compare:
\(\large y = a(x-h)^2 + k\) and
\(\large y = 2(x-3)^2 + 4\)

h = ?
k = ?

Answer 3

h=3 k=4

Answer 4

Correct, so the vertex is (3,4).

I hope that made sense!