2) The graph of is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph? Write answers in terms of x2 and/or x.

3) Consider the following graph of y = f(x).

a) If h(x) = f(x) + 2, what would the new coordinates of P be after the shift? Give answer in (x, y) form.

b) If ..., what would the new coordinates of P be after the reflection? Give answer in (x, y) form.

4) Consider the function ... .

a) Find h, the x-coordinate of the vertex of this parabola.

b) Substitute the two integers immediately to the left and right of h into the function to find the corresponding y. Fill in the following table. Make sure your x-values are in increasing order in your table.

Answer:
x y

h =__

c) Use MS Excel to graph the function by plotting the points found in the table in part b.

5) What are the equations of the horizontal and vertical asymptotes for the following. Type none if the function does not have an asymptote.

Functions and their graphs. 1. f(x)= 2x+5 if -3 <= X <0 -3 if x=0 -5x if x>0. a. Find the domain of each function. b. Locate any intercepts. c. Graph each ...

Explaining Algebra Questions: Graphs and Functions. The rational expressions are multiplied. ... Describe how the graph of the function g(x) = |x - 2| - 6 can be ...

Graphing and Harvesting Functions. See the attached file. Harvesting ... scratch. The solution discusses graphing and harvesting functions. Harvesting: ...

... fits!) 3. Not sure which one of the following are functions? ... f(x) and x consistent with being a function or not ... If you can draw a graph, and there is only one ...

Quotient Functions, Difference Quotients, Symmetry, Odd and Even Functions and Composite Functions. ... B. f is an odd function. ... A graph of y = f (x) follows. ...

... Discuss these functions and their graphs with your classmates. Let the exponential function be y = ex −1 . We can write it as. Log(y) = x 1. x = 1 + log(y). ...

... which of the following types of functions might be used as a model for the data. 6. Find and label the vertex and the line of symmetry. Graph the function. ...