In Exercises 19–26, describe the relationship between the graphs of f and g. Consider amplitude, period, and shifts.
19. f(x) = sin x
20. f(x) = cos x
g(x) = sin(x – 7) g(x) = cos(x + 7)
21. f(x) = cos 2x
22. f(x) = sin 3x
g(x) =
cos 2x
g(x) = sin(-3x)
23. f(x) = cos x
24. f(x) = sin x
g(x) = cos 2x
g(x) = sin 3x
25. f(x) = sin 2x
26. f(x) = cos 4x
g(x) = 3 + sin 2x
g(x) = -2 + cos 4x

What is the distance from zero if a quadratic function has a line of symmetry at x=-3 and a zero at 4

Determine the intercepts of the line that passes through the following points. (15,-3)(15,−3) (20,-5)(20,−5) (25,-7)(25,−7)

Which of the following transformations will make coincide with ? a. counter-clockwise rotation 90º about a, followed by a translation 5 units to the right b. translation 5 units to the right, followed by a reflection across the y-axis c. translation 5 units to the right, followed by a reflection across the x-axis d. translation 1 unit up and 5 units to the right, followed by a reflection across the x-axis