Final answer:
To sketch the curve represented by the given pair of parametric equations, choose different values for t, substitute them into the equations to get x and y values, and plot these points on a graph.
Step-by-step explanation:
The given pair of parametric equations are:
x = |t|
y = |1 - |t||
To sketch the curve represented by the parametric equations, we can start by choosing different values for t and then substituting them into the equations to get the corresponding values for x and y. For example, when t = -5, x = |-5| = 5 and y = |1 - |-5|| = |1 - 5| = 4. So, one point on the curve is (5, 4).
We can repeat this process for different values of t and plot all the corresponding points on a graph. Connecting all these points will result in the sketch of the curve represented by the parametric equations.