3. complete the table of numerical values for the given values of (t) using the parametric function…
3. complete the table of numerical values for the given values of (t) using the parametric function (f(t)=(1t + 1,t^{2})).\ndrag and drop the correct choice into the drop areas on the image above.\ncheck answer
Answer
Explanation:
Step1: Find x - values
Given $x = 11t + 1$. When $t=-2$, $x=11\times(-2)+1=-22 + 1=-21$. When $t = - 1$, $x=11\times(-1)+1=-11 + 1=-10$. When $t = 0$, $x=11\times0+1=1$. When $t = 1$, $x=11\times1+1=12$. When $t = 2$, $x=11\times2+1=22 + 1=23$. When $t = 3$, $x=11\times3+1=33 + 1=34$.
Step2: Find y - values
Given $y=t^{2}$. When $t=-2$, $y=(-2)^{2}=4$. When $t=-1$, $y=(-1)^{2}=1$. When $t = 0$, $y=0^{2}=0$. When $t = 1$, $y=1^{2}=1$. When $t = 2$, $y=2^{2}=4$. When $t = 3$, $y=3^{2}=9$.
Answer:
| t | -2 | -1 | 0 | 1 | 2 | 3 |
|---|---|---|---|---|---|---|
| x | -21 | -10 | 1 | 12 | 23 | 34 |
| y | 4 | 1 | 0 | 1 | 4 | 9 |