# If the following graph is of a function #f(x)#, how will the graph of (i) #f(x+3)#, (ii) #f(x)+3#, (iii) #-f(x)# and (iv) #1-f(x-3)# appear?

##### 1 Answer

Jan 4, 2017

Please see below.

#### Explanation:

The graph appears to be of a parabola

graph{-x^2+2 [-5, 5, -2.5, 2.5]}

**(i)**

graph{-x^2-6x-7 [-5.896, 4.104, -1.9, 3.1]}

**(ii)**

graph{-x^2+5 [-10.775, 9.225, -3.76, 6.24]}

**(iii)**

graph{x^2-2 [-10.73, 9.27, -2.2, 7.8]}

**(iv)**

=

graph{x^2-6x+8 [-7.77, 12.23, -1.72, 8.28]}