Which point lies on x = 3t, y = t² when t may be any real number?

• (3, 4)
• (6, 4)
• (6, 2)
• (12, 4)

For x = 2t and y = t², what is the x coordinate when t = -3?

Answer: ______________

What does the parameter t do in a pair of parametric equations?

• It sets both coordinates for each allowed t value
• It sets x while y stays fixed for all allowed t values
• It sets y while x stays fixed for all allowed t values

Reversing the direction of travel must change the set of points on a curve.

Circle one:   True   False

For x = 2t, y = t² and 0 <= t <= 2, the equation y = x²/4 without any x restriction describes exactly the traced points.

Circle one:   True   False

For x = 4 cos t and y = 4 sin t, where 0 <= t <= pi in radians, which Cartesian description gives exactly the traced points?

• x² + y² = 16, y >= 0
• x² + y² = 16, y <= 0
• x² + y² = 16, x >= 0
• x² + y² = 16, all x and y

For x = t + 2 and y = t², Mira finds t = x - 2, then writes y = x² + 4. Which term did she leave out?

• -2x
• 4
• -4x
• -4

For x = 5 cos t and y = 5 sin t, where 0 <= t <= 2pi in radians, what does squaring and adding give?

• x² + y² = 5
• x² + y² = 250
• x² + y² = 25

On standard axes, x = 4 cos t and y = -4 sin t for 0 <= t <= 2pi in radians. Where is the point at t = 0, and which way does it travel as t increases?

• (4, 0), moving anticlockwise
• (4, 0), moving clockwise
• (0, -4), moving clockwise

For x = 2t, y = t² and 1 <= t <= 3, eliminating t gives y = x²/4. Which x restriction keeps exactly the traced part?

• 0 <= x <= 9
• 1 <= x <= 3
• 2 <= x <= 6