Which of the following equations corresponds to the graph shown?

y = {(x - 3)}^{2} - 1

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y = - {(x - 3)}^{2} + 1

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y = {(x - 3)}^{2} + 1

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y = x - 3

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y = - {(x - 3)}^{2} - 1

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Solution

The correct option is C $y = - {(x - 3)}^{2} - 1$
As there are no real roots for that parabola in that figure, we can judge that option "C" or option "E" can be true

As the parabola is downward parabola $\Rightarrow$ a<0 which is true in option "E"

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