Question
Which ordered pair is on the graph of: y = x^2 + 2
Answers
GPT-4o mini
To find an ordered pair that lies on the graph of the equation \( y = x^2 + 2 \), you can choose a value for \( x \) and then calculate the corresponding value of \( y \).
For example, let's choose \( x = 1 \):
\[
y = 1^2 + 2 = 1 + 2 = 3
\]
So, the ordered pair \( (1, 3) \) is on the graph of the equation.
You could also choose other values for \( x \):
If \( x = 0 \):
\[
y = 0^2 + 2 = 0 + 2 = 2
\]
Ordered pair: \( (0, 2) \)
If \( x = -1 \):
\[
y = (-1)^2 + 2 = 1 + 2 = 3
\]
Ordered pair: \( (-1, 3) \)
Thus, some valid ordered pairs on the graph of \( y = x^2 + 2 \) include \( (1, 3) \), \( (0, 2) \), and \( (-1, 3) \).
For example, let's choose \( x = 1 \):
\[
y = 1^2 + 2 = 1 + 2 = 3
\]
So, the ordered pair \( (1, 3) \) is on the graph of the equation.
You could also choose other values for \( x \):
If \( x = 0 \):
\[
y = 0^2 + 2 = 0 + 2 = 2
\]
Ordered pair: \( (0, 2) \)
If \( x = -1 \):
\[
y = (-1)^2 + 2 = 1 + 2 = 3
\]
Ordered pair: \( (-1, 3) \)
Thus, some valid ordered pairs on the graph of \( y = x^2 + 2 \) include \( (1, 3) \), \( (0, 2) \), and \( (-1, 3) \).