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Exponential Function (a^x)

Which of the ...

Question

Which of the following represents the graph of $y = - x^{2} + 6 x + 1$

A

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B

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C

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D

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Solution

The correct option is D

$y = - x^{2} + 6 x + 1$

a < 0 $\Rightarrow$ graph is inverted cup shaped.

Also, maximum value occur at $x = \frac{- b}{2 a} = 3$

$D = b^{2} - 4 a c = 6^{2} - 4 (- 1) (1) = 36 + 4 = 40$ > 0

Graph cuts x-axis at 2 points

So, answer is D.

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Exponential Function (a^x)

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