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

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation:

a 90 degree rotation across the the origin followed by a reflection across the x-axis.

step-by-step explanation: