If y = √x, plotting which of the following would give a straight line graph?Question 2Select one or more:a.y2 vs xb.y vs √xc.√y vs xd.y2 vs x2e.√y vs √xf.y vs x2
Question
If y = √x, plotting which of the following would give a straight line graph?Question 2Select one or more:a.y2 vs xb.y vs √xc.√y vs xd.y2 vs x2e.√y vs √xf.y vs x2
Solution
The equation y = √x is a square root function. To transform this into a linear function (which would produce a straight line graph), we need to square both sides of the equation. This gives us y² = x. Therefore, plotting y² vs x (option a) would give a straight line graph.
The other options would not produce a straight line graph:
b. y vs √x would still be a square root function. c. √y vs x would be a square root function. d. y² vs x² would be a quadratic function. e. √y vs √x would still be a square root function. f. y vs x² would be a quadratic function.
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