Question

Question #0ad5a

Answer 1

Find the values of t when x = 0, then find the values of y when t is those values.

Explanation:

The y intercept occurs when `x = 0`, therefore, you find the corresponding value of t, using the equation:

`x = t^2 - 4`

make x = 0:

`0 = t^2 - 4`

`t^2 = 4`

`t = +-2`

To find the corresponding value of y evaluate the equation:

`y = t^3 - 3t`

at t = 2 and t = -2:

`y = 8 - 3(2) = 2 and y = -8 - 3(-2) = -2`

Then the x intercepts are:

`(0, 2) and (0, -2)`