Let f(x) 4^x and g(x) = 4^x+1 – 3. Which transformations are needed to transform the graph of f(x) to the graph of g(x)?

Sketch the vector field vector f( vector r ) = 8vector r in the xy-plane. select all that apply. the length of each vector is 8. the lengths of the vectors decrease as you move away from the origin. all the vectors point away from the origin. all the vectors point in the same direction. all the vectors point towards the origin. the lengths of the vectors increase as you move away from the origin.

In the diagram, a building cast a 35-ft shadow and a flagpole casts an 8-ft shadow. if the the flagpole is 18 ft tall, how tall is the building? round the the nearest tenth.

Find the length of the normal and the angle it makes with the positive x-axis. (see pictured below)