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.

... to help them understand, analyze, and graph rational functions that frequently come up in their games designs. First, pick a rational function and graph it. ...

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 ...

Assessing Graphs and Functions. Set 3 #34 Function expressed by ordered pairs: determine whether each relation is a function [(2, -5), (2,5) (3, 10)]. ...

Sketching the graph of a given function. ... x-intercept at (1.5, 0) and y-intercept at (0. 3) a. Overall shape is similar to the graph of the reciprocal function a. ...

Quadratic Functions and Graphs. ... of the ball relative to the ground is a function of time ...Graph this function for these conditions: a. t is greater than or equal ...

... when the ball hits the ground. References: [1] http://rechneronline.de/function- graphs/. The expert examines the key components of functions and graphs verbally ...

A particle moves along a graph of a function at a constant rate, starting from a given point. Determine the location of the particle after one minute. ...