Mathematics
Grade10
Easy
Question
The vertex of h(x) = x2 + 5 is _______.
- (1, 4)
- (0, 5)
- (5, 0)
- (3, 2)
The correct answer is: (0, 5)
The parent function was f(x)=x2 whose vertex is (0,0)
h(x)=x2+5 has 0 and +5 which are the x-intercept and y-intercept respectively. So each coordinate including the vertex, and therefore the whole graph is shifted 5 units upward.
So, the new vertex is (0,5)
The vertex of h(x) = x2 + k is (0, k).
So, the vertex of h(x) = x2 + 5 is (0, 5).
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