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I could really use some help on this practice test to prepare me. I don’t remember how to perform alot of this so if you could explain it thoroughly it would be appreciated:)

20. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. 

r = 4 cos 3?

19. A railroad tunnel is shaped like a semiellipse, as shown below. (Graph is a half circle on the positive side of x axis- looks like a sunset)

A semiellipse is shown on the coordinate plane with vertices on the x axis and one point of intersection with the positive y axis.

The height of the tunnel at the center is 35 ft, and the vertical clearance must be 21 ft at a point 8 ft from the center. Find an equation for the ellipse. 

18. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. 

r = 2 + 3 sin ?

17. The graph of a limacon curve is given. (perfect circle, no indentations) Without using your graphing calculator, determine which equation is correct for the graph. 

a circle symmetric to the y axis where the majority of the circle lies in quadrants one and two

[-5, 5] by [-5, 5] 

16. Find the rectangular coordinates of the point with the polar coordinates.

(-5, 5pi/3)

15. Eliminate the parameter.

x = 1/2t, y = 3t^3 – 1 

14. Find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ± 1/4x

13. Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±10). 

8. Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4.