Question
Which ordered pair is on the graph of y=x^2+2
(5,49)
(4,10)
(-1,1)
(-6,28)
(5,49)
(4,10)
(-1,1)
(-6,28)
Answers
GPT-4o mini
To determine which ordered pair is on the graph of \( y = x^2 + 2 \), we will substitute the \( x \)-value from each ordered pair into the equation and check if the resulting \( y \)-value matches the \( y \)-value of the ordered pair.
1. For the pair \( (5, 49) \):
\[
y = 5^2 + 2 = 25 + 2 = 27
\]
\( 49 \neq 27 \)
2. For the pair \( (4, 10) \):
\[
y = 4^2 + 2 = 16 + 2 = 18
\]
\( 10 \neq 18 \)
3. For the pair \( (-1, 1) \):
\[
y = (-1)^2 + 2 = 1 + 2 = 3
\]
\( 1 \neq 3 \)
4. For the pair \( (-6, 28) \):
\[
y = (-6)^2 + 2 = 36 + 2 = 38
\]
\( 28 \neq 38 \)
None of the ordered pairs listed are on the graph of the equation \( y = x^2 + 2 \).
1. For the pair \( (5, 49) \):
\[
y = 5^2 + 2 = 25 + 2 = 27
\]
\( 49 \neq 27 \)
2. For the pair \( (4, 10) \):
\[
y = 4^2 + 2 = 16 + 2 = 18
\]
\( 10 \neq 18 \)
3. For the pair \( (-1, 1) \):
\[
y = (-1)^2 + 2 = 1 + 2 = 3
\]
\( 1 \neq 3 \)
4. For the pair \( (-6, 28) \):
\[
y = (-6)^2 + 2 = 36 + 2 = 38
\]
\( 28 \neq 38 \)
None of the ordered pairs listed are on the graph of the equation \( y = x^2 + 2 \).