Question
hich functions graph passes through the points (1,4) (2,9) (3,16)
y=(x+3)^2
y=(x+1)^2
y=(x+3)^2
y=(x+1)^2
Answers
GPT 3.5
To determine which function's graph passes through the points (1,4), (2,9), and (3,16), we can substitute the x-values and y-values into the equations for y=(x+3)^2 and y=(x+1)^2.
For y=(x+3)^2:
When x=1,
y=(1+3)^2
y=4^2
y=16, which does not match the y-value of 4.
For y=(x+1)^2:
When x=1,
y=(1+1)^2
y=2^2
y=4, which matches the y-value of 4.
Therefore, the function whose graph passes through the points (1,4), (2,9), and (3,16) is y=(x+1)^2.
For y=(x+3)^2:
When x=1,
y=(1+3)^2
y=4^2
y=16, which does not match the y-value of 4.
For y=(x+1)^2:
When x=1,
y=(1+1)^2
y=2^2
y=4, which matches the y-value of 4.
Therefore, the function whose graph passes through the points (1,4), (2,9), and (3,16) is y=(x+1)^2.