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
GPT-4o mini
To determine which ordered pair is on the graph of the equation \( y = x^2 + 2 \), we can plug in the values of \( x \) from each ordered pair and see if the computed \( y \) value matches the \( y \) in the ordered pairs.
1. **For (5, 49)**:
\[
y = 5^2 + 2 = 25 + 2 = 27 \quad \text{(not 49)}
\]
2. **For (4, 10)**:
\[
y = 4^2 + 2 = 16 + 2 = 18 \quad \text{(not 10)}
\]
3. **For (-1, 1)**:
\[
y = (-1)^2 + 2 = 1 + 2 = 3 \quad \text{(not 1)}
\]
4. **For (-6, 38)**:
\[
y = (-6)^2 + 2 = 36 + 2 = 38 \quad \text{(matches)}
\]
The ordered pair that is on the graph of \( y = x^2 + 2 \) is **(-6, 38)**.
1. **For (5, 49)**:
\[
y = 5^2 + 2 = 25 + 2 = 27 \quad \text{(not 49)}
\]
2. **For (4, 10)**:
\[
y = 4^2 + 2 = 16 + 2 = 18 \quad \text{(not 10)}
\]
3. **For (-1, 1)**:
\[
y = (-1)^2 + 2 = 1 + 2 = 3 \quad \text{(not 1)}
\]
4. **For (-6, 38)**:
\[
y = (-6)^2 + 2 = 36 + 2 = 38 \quad \text{(matches)}
\]
The ordered pair that is on the graph of \( y = x^2 + 2 \) is **(-6, 38)**.