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Which of the following points lies on the graph of y = x 2 - 2x + 6? (-3, 21) (-2, 0) (-1, 10)

Respuesta :

Answer:

[tex]\textbf{None of them. }\\[/tex]

Step-by-step explanation:

[tex]\textup{\textbf{For the points to be on the graph substitute for $x$ and $y$ and check for equality.}}\\\textup{The function given is:}\\$ x^2 + 2x + 6 $ \\\textup{Let us check for $(-3,21)$}\\[/tex]

[tex]$ i.e., {(-3)}^2 + 2(-3) + 6 = 9 \ne 21 $\\\textup{That means the point is not on the graph.}\\\textup{Similarly, for $(-2,0)$ we see that}\\$ {(-2)}^2 + 2(-2) + 6 = 6 \ne  0 $\\\textup{Similarly check for $(-1,10)$ to find out that it isn't satisfied as well.}\\[/tex]

[tex]\textup{\textbf{Hence, we conclude none of the points satisfy the equation.}}[/tex]

The answer is (-3,21)

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