... Question 6Write an equation for a function that has a graph with the given characteristics.1The shape of yshifted right 3 units and shifted up 5 units.I

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Answered: Write an equation for a function that…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.5: Transformations Of Some Basic Curves

Problem 4CQ

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Similar questions

Sketch the graph of fx=5e0.17x.
The graph of f(x)=10x is reflected about the x-axisand shifted upward 7 units. What is the equation ofthe new function, g(x) ? State its y-intercept, domain,and range.
Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable x, that gives the amount of money, y, you will earn for working x hours in one week. b. Use the function rule you have written in part (a) to complete Table 4. c. Construct a line graph from the information in Table 4. d. State the domain and range of this function.
Graph: f(x)=x .
When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal shift from a vertical shift?
The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.
When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal stretch from a vertical stretch?
During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?
The graph of f(x)=(1.68)x is shifted right 3 units,stretched vertically by a factor of 2, reflected aboutthe x-axis, and then shifted downward 3 units. Whatis the equation of the new function, g(x) ? State itsy-intercept (to the nearest thousandth), domain, andrange.
The graph of fx=1/x is a .
When examining the formula of a function that is the result of multiple transformations, how can you tell a reflection with respect to the x-axis from a reflection with respect to the y-axis?
Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.

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Write an equation for a function that has a graph with the given characteristics. The shape of y = shifted right 3 units and shifted up 5 units. I