In Exercises 3-8, write a function g whose graph represents the indicated transformation of the graph
of f. Use a graphing calculator to check your answer.
(See Example 1.)
3. f(x) = x - 5; translation 4 units to the left
4. f(x) = x + 2; translation 2 units to the right
5. f(x) = 4x +31 + 2; translation 2 units down
6. f(x) = 2x - 9; translation 6 units up

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 - 4x - 5 = 0

Mat bought a phone for $100. he has to pay $30 per mouth. if he has paid $640 in total, how many mouth has he had the phone?