Mathematics
Grade10
Easy
Question
Find the vertex of f(x) = (x - 4)2 + 9.
- (2, 3)
- (0, 9)
- (4, 9)
- (4, 0)
The correct answer is: (4, 9)
The parent function was f(x)=x2 whose vertex is (0,0)
f(x)=(x-4)2+9 has +4 and +9 which are the x-intercept and y-intercept respectively.
As, x-4 =0 
x=4
So each coordinate including the vertex, and therefore the whole graph is shifted 4 units to the right and 9 units upward.
So, the new vertex is (4,9)
Since h = 4 and k = 9, vertex will be (4, 9).
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