Question

You said there is NO WAY that we can transform the black graph to match the green graph c.Can we transform the black graph to match ALL of the other graphs?Write equations in terms of f(x) to match the other graphs (if possible).Write an equation for graphs A,B,D,and E

Answer 1

1) Since we want to match the other graphs let's start by

Let's consider the

a) f(X) and A

As the graph is 3 units to the left and 5 units down we can rewrite A as

A = (f(x)+3)-5

b)

As the graph B is 3 units up and 2 units to the right we can rewrite B as

B= (f(x) -2)+3

c) As the graph C is 2 units up and 7 units to the left we can rewrite B as

C= (f(x)+7)+2

d) As the graph D is 3 units down and 3 units to the right we can rewrite D as:

D = (f(x)-3)-3

e) As the graph E is 6 units up we can rewrite E as:

E = f(x) +6