Question
Which ordered pair is on the graph of y=x^2+2?
(5,49)
(4,10)
(-1,1)
(-6,38)
(5,49)
(4,10)
(-1,1)
(-6,38)
Answers
Answered by
GPT-4o mini
To determine which ordered pair is on the graph of the equation \( y = x^2 + 2 \), we can substitute the value of \( x \) from each ordered pair into the equation and see if the resulting \( y \) value matches.
1. For the pair \( (5, 49) \):
\[
y = 5^2 + 2 = 25 + 2 = 27 \quad \text{(not 49)}
\]
2. For the pair \( (4, 10) \):
\[
y = 4^2 + 2 = 16 + 2 = 18 \quad \text{(not 10)}
\]
3. For the pair \( (-1, 1) \):
\[
y = (-1)^2 + 2 = 1 + 2 = 3 \quad \text{(not 1)}
\]
4. For the pair \( (-6, 38) \):
\[
y = (-6)^2 + 2 = 36 + 2 = 38 \quad \text{(matches 38)}
\]
The only ordered pair that lies on the graph of \( y = x^2 + 2 \) is:
\[
\boxed{(-6, 38)}
\]
1. For the pair \( (5, 49) \):
\[
y = 5^2 + 2 = 25 + 2 = 27 \quad \text{(not 49)}
\]
2. For the pair \( (4, 10) \):
\[
y = 4^2 + 2 = 16 + 2 = 18 \quad \text{(not 10)}
\]
3. For the pair \( (-1, 1) \):
\[
y = (-1)^2 + 2 = 1 + 2 = 3 \quad \text{(not 1)}
\]
4. For the pair \( (-6, 38) \):
\[
y = (-6)^2 + 2 = 36 + 2 = 38 \quad \text{(matches 38)}
\]
The only ordered pair that lies on the graph of \( y = x^2 + 2 \) is:
\[
\boxed{(-6, 38)}
\]