Identify the equation without applying a rotation of axes.5x2 - 2xy + 2y2 - 2x - 4y + 8 = 0
A. hyperbola
B. parabola
C. ellipse
D. not a conic
Answer: C
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The algebraic expression s2 gives the area of a square, where s represents the length of one of its sides. Use this information to find the area of the square.
5 mi
A. 28 sq mi B. 20 sq mi C. 25 sq mi D. 21 sq mi
Divide using long division.
A. x + 8 B. x3 - 28 C. x - 28 D. x2 + 8
Find the standard equation of the ellipse shown in the figure. Identify the coordinates of the vertices, endpoints of the minor axis, and the foci.
A. 
+ 
= 1; V(±4, 0); U(0, ±3); F(±
, 0)
B. 
+ 
= 1; V(0, ±4); U(±3, 0); F(±4, 0)
C. 
+ 
= 1; V(0, ±4); U(±3, 0); F(0, ±
)
D. 
+ 
= 1; V(±3, 0); U(0, ±3); F(±5, 0)
Without graphing the function, determine its amplitude or period as requested.y = 4 sin 5xFind the amplitude.
A. 
B. 
C. 
D. 4