1. The problem asks to find the values of $y$ in the relation $y = 2(x + 2)$ for given $x$ values and then draw the graph of this relation.
2. The relation is given by the function:
$$y = 2(x + 2)$$
3. We will calculate $y$ for several values of $x$:
- For $x = -2$:
$$y = 2(-2 + 2) = 2(0) = 0$$
- For $x = 0$:
$$y = 2(0 + 2) = 2(2) = 4$$
- For $x = 2$:
$$y = 2(2 + 2) = 2(4) = 8$$
- For $x = 3$:
$$y = 2(3 + 2) = 2(5) = 10$$
4. The completed table of values is:
| $x$ | $y = 2(x + 2)$ |
|-----|----------------|
| -2 | 0 |
| 0 | 4 |
| 2 | 8 |
| 3 | 10 |
5. This linear function has a slope of 2 and a y-intercept at $y = 4$ when $x=0$.
6. The graph is a straight line passing through points $(-2,0)$, $(0,4)$, $(2,8)$, and $(3,10)$.
Final answer:
The relation $y = 2(x + 2)$ evaluated at the given $x$ values produces $y$ values 0, 4, 8, and 10 respectively.
Linear Relation
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