exam Maths Puzzle Numerical Ability

Graph Each Function and give the approximate coordinates of the vertex.

41. f(x)=x^2-x+9

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exam Other Question

Can someone please show me how this is done. The way I am doing it the teacher says is incorrect.

x^2 - 4x - 60 = 0
Is an identity (true for all values of x)?
Answer:

Explain your answer in this space.