Use transformations to graph the function. 1) y = 5 sin x 2+ X -70 2n -4- -6- 2

Write the function as a composition of two functions. 1 2 y= (x² +8x) ³ - 7(x² +8x)³ +3 x² + 8x) ³ Choose the correct answer below. O A. O B. O C. 1 2 f f(x)=x² + 8x and g(x)=x³ - 7x³ +3, then y = f[g(x)]. 3 3 If f(x) = x³ - 7x² +3 and g(x)=x² +8x, then y = f[g(x)]. 1 2 If f(x) = 8x³ - 56x³ +3 and g(x)=x², then y = f[g(x)]. 1 2 OD. If f(x)=x If f(x)=x³ - 7x³ +3 and g(x)=x² + 8x, then y = f[g(x)].

Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the function without doing any algebra first   ii.) by doing as much algebraic simplification as possible beforehand

+ 3. An amusement park is planning a new roller coaster. Part of it is to have the shape of the cosine function. The high and low points of this part differ by 24 meters and cover a horizontal distance of 40 meters from the high point to the low point. The low point is 6 meters below ground in a tunnel. Let y repre- sent the number of meters the track is above or below ground, and let x repre- sent the number of meters the track is horizontally from the high point. a. Sketch this situation. b. The equation y = 12 cos (4.5x) + 6 models the situation when x and y are in meters and 4.5 is in degrees per meter. Rewrite y = 12 cos (4.5x) + 6 as an equation for which the coefficient of x is in radians per meter. c. What is the length of a vertical support girder at the high point? At a dis- tance of 6 meters horizontally from the high point? At a distance of 20 meters horizontally from the high point? d. Measured horizontally, how far from the high point does the roller coaster enter the…

How would I use this graph of f to draw its inverse function?

Please help me with this question

A C 78°F Mostly cloudy Which of the following functions could make the graph of: F1 O f(x)=x²-2x³ - x² + 2x f(x) = x^² + 2x³ + x² + 2x F2 F3 F4 F5 20 O Search F6 ☆ F7 Y 14 F

6. Indicate verbally how the graph of each function relates to the graph of one of the six basic functions then draw the graph. = (x - 3)2 7 b) y 5 c) y = V-x+2 - 3. а) у %3D = -