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Construct parametric equations describing the graph of the following equation.y = 6x2 + 4x - 4If x = 1 - 2, find the parametric equation for y.

Construct parametric equations describing the graph of the following equation.y = 6x-example-1
User IRvanFauziE
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1 Answer

8 votes
8 votes

Answer:

The parametric equation for y is:


y=6t^2-20t+12

Step-by-step explanation:

To solve this problem, given x = t-2, we replace this value in the original equation.

The original expression is:


y=6x^2+4x-4

Then, x = t - 2:


y=6(t-2)^2+4(t-2)-4

Now, we can develop the squared binomial, and apply distributive property in the second parentheses:


y=6(t^2-4t+4)+4t-8-4

Apply distributive property in the parentheses:


y=6t^2-24t+24+4t-12

And solve the sums and rests:


y=6t^2-20t+12

User Lilactown
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