Question

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

Answer 1

Answer:

$\textbf{None of them. }$

Step-by-step explanation:

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

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

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

Answer 2

The answer is (-3,21)