functions and transformations quiz

Which is the graph of y = log4(x+3)?

graph c

which is the graph of ^3√2x?

not b

Review the graph of f(x) =^5√x and the graph of the transformed function g(x). If g(x) = a · f(x + b), how is f(x) transformed to get g(x)?

-2f(x + 4)

The function h(x) = 12x^8 + 49 is an even function. Which transformation of h(x) would result in a function that is neither even nor odd?

translation 8 units to the right

Which describes changes to the graph of w(x), when applying the transformation w(x - 19)?

A point (r, s) on the graph of w(x) moves to (r + 19, s).

Consider the function f(x) = x^3 + 0.5x - 1. Marjan needs to graph f(x) and g(x) = -f(x) - 3. His graphs are shown below.

Yes, g(x) is a reflection of f(x) over the x-axis followed by a translation of 3 units down.

The graph models the projected populations, in thousands, of two towns after x years. Both towns experience a 1.9% annual growth rate.

g(x)=5/3*f(x)

The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f(x) = 50 + 10 log x. Suppose each of the x objects increases its sound power by 10 decibels, so that the new total sound power, in decibels, is given by the function g(x) = f(x) + 10

graph A

Consider the function f(x) = x^5 - 3x^2 + 5x. Let g(x) = f(-x + 4). Which shows the graphs of f(x) and g(x)?

graph a

Which transformations to the graph of j(x) would result in the graph of j(4x) - 27?

horizontal compression by a factor of 1/4, and a translation 27 units down