Question

For the following, state the parent function. Then, tell the difference between the parent function and this child function - ir terms of the equation and in terms of the graph. Graph each function. 10. f(x) = (x + 2) - 3

Answer 1

Given f(x) defined as follows:

$f\mleft(x\mright)=(x+2)-3​$

The paren: function of f(x) is:

$g(x)=x$

f(x) is a horizontal translation left by 2 units and vertical translation down by 3 units of g(x).

The graphs of the two functions are attached below:

• The graph of the parent function g(x) passes through the origin(0,0) while;

,

• The graph of f(x) has x and y-intercepts of (1,0) and (0,-1) respectively.