Find the relationship between the graphs of f and g. Consider amplitude, period, and shifts.
?
f(x) = cos x
g(x) = cos 2x
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A. The period of g is 2 times the period of f.
B. g is a reflection of f in the y-axis.
C. The period of f is 2 times the period of g.
D. f is a reflection of g in the x-axis.
E. g is a shift of f ? units to the right.
Answer: C
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Sketch the graph of the quadratic function. Give the vertex and axis of symmetry.f(x) = (x - 6)2 - 3
A. vertex (-3, 6); axis x = -3
B. vertex (-6, -3); axis x = -6
C. vertex (3, -6 ); axis x = 3
D. vertex (6, -3); axis x = 6
Find the area of the following figure. Assume the triangle is a right isosceles triangle and the curve is a semicircle. Show your work.
Find the sum. +
A. 1
B.
C.
D.
Solve the system, if possible.
A) x = –14, y = 5, z = –5
B) x = 5, y = 9, z = –5
C) x = –8, y = –5, z = –5
D) x = –5, y = –9, z = 5
E) no solution; inconsistent system