Answer:
The parametric equation for y is:
[tex]y=6t^2-20t+12[/tex]
Explanation:
To solve this problem, given x = t-2, we replace this value in the original equation.
The original expression is:
[tex]y=6x^2+4x-4[/tex]
Then, x = t - 2:
[tex]y=6(t-2)^2+4(t-2)-4[/tex]
Now, we can develop the squared binomial, and apply distributive property in the second parentheses:
[tex]y=6(t^2-4t+4)+4t-8-4[/tex]
Apply distributive property in the parentheses:
[tex]y=6t^2-24t+24+4t-12[/tex]
And solve the sums and rests:
[tex]y=6t^2-20t+12[/tex]
