Formulae and Graphs

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The positions of the cars depend on the time $t$. For each car there is a rule for finding the position. The rule is described by a formula in terms of $t$. Since each value of $t$ will correspond to one position of a car, the position is a function of the time.

If you want to describe the movement of a car on a paper (where the car cannot move) you can think of $t$ as changing along one direction and the position along another direction (by using a Cartesian coordinatesystem). Then you can plot the movement. Your plot is the graph of the function.

Find the formula

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If you drag $x_1$, you can see that $y_1=x_1+2$ for all values of $x_1$.

Find the formula of the functions $y_2, y_3, y_4, y_5, y_6$ and $y_7$.

Use the worksheet below to check your answer, drag $x$ to see $y$ move. Enter a formula (in terms of $x$) to see another relation. Turn the $y$-axis $90^\circ$ to see the graph of the function.

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