Help!! 50 points and brainliest!

which set of parametric equations represents the function y = x^2 + 2x - 3? select all that apply.

thank you! :)

Second choice:

Fifth choice:

Step-by-step explanation:

Let's look at choice 1.

I'm going to subtract 1 on both sides for the first equation giving me . I will replace the in the second equation with this substitution from equation 1.

Expand using the distributive property and the identity :

So this not the desired result.

Let's look at choice 2.

Solve the first equation for by dividing both sides by 2:

.

Let's plug this into equation 2:

This is the desired result.

Choice 3:

Solve the first equation for by adding 3 on both sides:

.

Plug into second equation:

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

Not the desired result.

Choice 4:

I'm going to solve the bottom equation for since I don't want to deal with square roots.

Add 3 on both sides:

Divide both sides by 2:

Plug into equation 1:

This is not the desired result because the variable will be squared now instead of the variable.

Choice 5:

Solve the first equation for by subtracting 1 on both sides:

.

Plug into equation 2:

Distribute and use the binomial square identity used earlier:

.

This is the desired result.

Option 2; Option 5

Step-by-step explanation:

x² + 2x - 3 = 0

x = 2t

y = (2t)² +2(2t) - 3 = 4t² + 4t - 3

x = t+1

y = (t+1)² + 2(t+1) - 3

y = t² + 2t + 1 + 2t + 2 - 3 = t² + 4t