7.2 #6-7 and N.R 3-4

Numerical Response The point (-3, 5) lies on the graph of y = g(x). The point maps to the point (8, 11 ) on the graph of a new function, y = f(x - h) + k. The value of k is Hint: There are no stretches or reflections, only translations. 6. The maximum value reached by the function /(x) = 4 cos (2x - ) + 5 is Hint: Consider amplitude and vertical displacement. 7. When the function y = 2' is transformed to the function y = 7(2)"-"+ 5, the horizontal and vertical stretch factors involved, respectively, are A. - and 2 B. - and 4 C. - and 5 D. - and 7 Hint: Compare y = 7(2)"(-" + 5 to y = a(2)() + k. Numerical Response 4. A sinusoidal function of the form y = asin(b(x - c)) + d has a maximum value at ( 2, 4) are and a subsequent minimum value at (, - 2 ). The values of a, b, c, and d, respectively, graph. Hint: Plot the points and use the characteristics of a sinusoidal function to sketch the