Three quadratic functions are given below. ![](http://admin.getprephub.com/media/editor/Screenshot%202023-08-25%20at%207.38.55%20PM_20230825173903417920.png) Which of these functions have the same vertex? ![](http://admin.getprephub.com/media/editor/Screenshot%202023-08-25%20at%207.38.55%20PM_20230825173903417920.png)

Here, In $$(I)$$, $$f(x)-5=(x+2)^2$$ Vertex = $$(-2,5)$$ In $$(II)$$, The values of $$g(x)$$ is increasing from $$x=-4$$ to $$x=-2$$ The values of $$g(x)$$ is decreasing from $$x=-1$$ to $$x=1$$. Hence, $$(-2,5)$$ cannot be the vertex of $$(II)$$. In $$(III)$$, from the diagram, Vertex$$=(-2,5)$$ Hence, the correct option is $$I$$ and $$III$$ only.

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Question

Difficulty Level:

Easy

MCQ

Three quadratic functions are given below.

Which of these functions have the same vertex?

Select all that apply :

I and III, only

II and III, only

I, II, and III

I and II, only

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