Question

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

Answer 1

The answer is (-3,21)

Answer 2

`\textbf{None of them. }\\`

Explanation:

`\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 $(-3,21)$}\\`

`$ i.e., {(-3)}^2 + 2(-3) + 6 = 9 \\e 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 \\e  0 $\\\textup{Similarly check for $(-1,10)$ to find out that it isn't satisfied as well.}\\`

`\textup{\textbf{Hence, we conclude none of the points satisfy the equation.}}`