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(Solved): y=-(1)/(4)(2)^(x-4)+5 Sketch the above equation by first including a table describing its major feat ...
y=-(1)/(4)(2)^(x-4)+5
Sketch the above equation by first including a table
describing its major features. ( 4 marks)
Given the equation y=2^(x), predict the equation for the
graph that has been reflected in the y-axis, given a vertical
stretch by a factor of 5 , translated 2 units right and 5 units
down. (2 marks)
Graph y=-2log_(3)(x-3)-1. (2 marks)
y=(1)/(5)log_(3)(9x-36)^(15)-13
Apply the laws of logarithms to change the form of the
above equation. Graph the function by first stating the
basic function and then describe each transformation
applied in order. Specifically describe what happens to
the domain, range, asymptotes, x-intercept, and vertical
stretch or compression. Confirm your result by graphing
both equations using a graphing technology of your choice.
Include the graphs. (4 marks)
Express y=1000(10^(x)) in the form y=10^(x-p). Describe the
horizontal translation that changes y=1000(10^(x)) into
y=10^(x). (2 marks)