Let h be the function whose graph is shown below. Sketch the graph of 2h.

Let h be the funciton whose graph is show below. Draw the graph of 2h

Given information:

2h

Concept used:

2f(x)=2(f(x))

Calculation:

Objective is to draw the graph of 2h.

Observe that the graph has 5 piecewise straight lines starting from left to right.

Part 1:(−5,0),(−2,−2)

The line is as follows.

y−0=−2−0−2+5(x+5)y=−23(x+5)

Part 2:(−2,−2) and (−1,0)

y+2=0+2−1+2(x+2)y+2=2(x+2)y=2x+2

Part 3:(−1,0) and (0,1)

y−0=1−00+1(x+1)y=x+1

Part 4:(0,1) and (2,0).

y−1=0−12−0(x−0)y=−12x+1

Part 5:(2,0) and (5,2)

y−0=2−05−2(x−2)y=23(x−2)

Using increase the above 5 parts by 3 times