Find the equation of the tan gent line to the graph of the equation f(x) = 5x - 8x +12, at the point (1,9) %3D

Describe the changes in the graph for the following equations from their respective parent function. f(x) = }(x – 11)² + 8 g(x)= \x + 1 – 3 ||

Graph the equation: f(x) = (x+1)^3 - 5 Please include coordinates as well as vertical shift/compression and horizontal stretch/compression amounts.

The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)