Question

In a video game, two creatures are moving around a coordinate plane. The fizgig follows a path given by y=2x-4. The whatzit follows a path given by y=x to the power of 2 -3. What is the y-coordinate of that the fizgig and the whatzit both pass through?

Answer 1

-2

Explanation:

The range of the fizgig is -∞ to +∞. The range of the whatzit is -3 ≤ y < ∞. That is, both creatures pass through all y-values between -3 and +∞.

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Perhaps you want the y-coordinate of a point that both creatures pass through. The point of intersection is found where both equations are satisfied:

2x -4 = y = x^2 -3

x^2 -2x +1 = 0

(x -1)^2 = 0

x = 1

The value of y at that point is ...

y = 2x -4 = 2(1) -4 = -2

The y-coordinate of the point both creatures pass through is -2.