Mathematics
Grade10
Easy
Question
The vertex of f(x) = 3.5(x + 2)2 - 5 is _____________.
- (2, 5)
- (5, 2)
- (-2, -5)
- (-5, -2)
The correct answer is: (-2, -5)
The vertex of the graph .
The parent function was f(x)=x2 whose vertex is (0,0)
f(x)=3.5(x+2)2-5 has -2 and -5, which are the x-intercept and y-intercept respectively.
x+2 =0 x=-2
So each coordinate including the vertex, and therefore the whole graph is shifted 2 units to the left and 5 units downward.
So, the new vertex is (-2,-5)
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