Aim #78b: Practice with writing equations from a given graph and graphing
equations.
Homework: Finish handout
Write the equation of the following graphs:
1)
3)
2)
4)
5)
6)
7)
8) Given y = f(x), graph the following:
h(x) = f(2x + 2) - 3
`
Graph the following functions by identifying the parent functionand using
transformations.
9)
11)
10)
12)
13)
14)
g(x) = -|2x + 2| - 1
15) Write the quadratic equation to represent a graph with a vertex at (2, -3)
which opens down and is wider than the parent function y = x2.
16) a. Write the equation that shifts the parent function y = x3, 4 units right.
b. Write a new equation that reflects your answer from part a over the y-axis.
17) How would the graph of f(x) =
be affected if it were changed to g(x) =
18) Write a formula for the function that defines the described transformations
of the graph of the quadratic parent function f(x) = x2.
a. 3 units shift to the right.
b. vertical shrink by a factor of 0.5
c. reflection across the x axis
d. 4 units shift up
?