Provide an appropriate response.Without graphing explain the differences between the graphs of     and 

What will be an ideal response?


All graphs are the same shape. The graph of y = x2 - 1 is shifted 1 units down, the graph of y = x2 + 1 is shifted 1 units up, the graph of y = (x - 1)2 is shifted 1 units to the right, and the graph of y = (x + 1)2 is shifted 1 units to the left.

Mathematics

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Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = (cos x)x

A. ln x(cos x)x - 1 B. (cos x)x (ln cos x - x tan x) C. (cos x)x (ln cos x + x cot x) D. ln cos x - x tan x

Mathematics

Provide an appropriate response.Solve the equation with a squared term: x2 = 

A. x = 
B. x = ±
C. x = ±
D. x = 

Mathematics

The given point is on the graph of y = f(x). Find a point on the graph of y = g(x).g(x) = 2f(x); (2, 4)

A. (1, 4) B. (2, 8) C. (4, 4) D. (5, 1)

Mathematics

Evaluate the expression for the given value or values.23 + y for y = 41

A. 37 B. 46 C. 64 D. 55

Mathematics