Practice Test

Question 6 • Precalculus

Which graph represents the parametric equations x is equal to 1 minus t squared and y is equal to 2 t , where 0 is less than or equal to t comma t is less than or equal to 5 ?

Answer

Image with description On a coordinate plane, a curve starts at (1, 0) and curves down through (2, negative 2) to (26, negative 10).

Image with description On a coordinate plane, a curve starts at (1, 0) and curves up through (0, 2) to (negative 24, 10).

Image with description On a coordinate plane, a curve starts at (1, 0) and curves up through (2, 2) to (26, 10).

Image with description On a coordinate plane, a curve starts at (1, 0) and curves down through (0, negative 2) to (negative 24, negative 10).

Explanation

At t = 0, the point is (x, y) = (1, 0). As t increases to 1, the point becomes (0, 2), and at t = 5 it is (-24, 10). The curve therefore moves upward and to the left, matching choice B.

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