How does the graph of g(x)=2⌈x⌉ differ from the graph of f(x)=⌈x⌉? a. multiplying by 2 compresses the graph of g(x)=2⌈x⌉ vertically by a factor of 2. b. multiplying by 2 stretches the graph of g(x)=2⌈x⌉ vertically by a factor of 2. c. multiplying by 2 shifts the graph of g(x)=2⌈x⌉ up 2 units. d. multiplying by 2 shifts the graph of g(x)=2⌈x⌉ down 2 units.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: