Maths-
General
Easy
Question
Sarah said the vertex of the function f(x)= (x+2)2+6 is (2,6). Is she correct, Explain your answer.
Hint:
The vertex form of a quadratic function is
f(x) = a(x – h)2 + k
Where a, h, and k are constants. Here, h represents horizontal translation, a represents vertical translation and (h,k) is the vertex of the parabola. Also, a represents the Vertical stretch/shrink of the parabola and if a is negative, then the graph is reflected over the x-axis.
The correct answer is: Hence, the vertex given by Sarah is wrong
Given f(x)= (x+2)2+6 = (x-(-2))2+6
Here, h = -2 and k = 6
So, the vertex of the graph is (-2,6)
The vertex given by Sarah is (2,6) which is wrong.
Final Answer:
Hence, the vertex given by Sarah is wrong.
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