10.1-10.2 Parametric Equations Quiz A

Sketch the curve given by the pair of parametric equations over the given interval: ( x = 3t, y = sqrt(t + 6) ), where 0 <= t <= 8. Use the table to plot points and the grid to sketch the curve.

What is the rectangular form of these parametric equations: x = t + 5 and y = -3t^2

What type of function is it for the rectangular form of x = t + 5 and y = -3t^2?

Eliminate the parameter and write the standard form of the parametric curve, using the Pythagorean Identity. The equations are x = 2cos(t) and y = 2sin(t), where 0 <= t <= 2pi.

What type of conic section is it for x = 2cos(t) and y = 2sin(t), where 0 <= t <= 2pi.

The rectangular equation and one parametric equation are provided. Use substitution to find the other parametric equation. The given equations are ( y = x^2 - 4 ), ( t = 1 - x/4 ).

Use the parameter ( t = x ) to write the parametric equations that can represent ( y = -\frac{x^2}{4} + 4 ), then graph the equation, indicating the speed ( t = ? ) and the orientation.

Lola throws a rock with an initial velocity of 5 feet per second at an angle of (8°) above the ground. Write parametric equations to represent the path of the rock.

After 0.4 seconds, how far has the rock traveled horizontally?

Alfredo and Uriel are playing catch. Alfredo tosses a ball to Uriel at an initial velocity of 38 feet per second at an angle of (28°) from a height of 4 feet. Uriel is 40 feet away from Alfredo. Write parametric equations to represent the path of the ball.