What kind of transformation converts the graph of f(x)=5x into the graph of g(x)=5x+4?

Answer 1

Translate the graph of f four units upward to get the graph of g.

Answer 2

vertical shift up by 4

graphically, f and g are two parallel lines

with the same steep slope = 5

but g has y intercept =4, f has y intercept= 0

g's y intercept is 4 units higher than f's y intercept

g has an x intercept= -4, f has an x intercept = 0

the transformation is a vertical shift up by 4

or

the transformation is a horizontal shift left by 4

either is correct, but not both

you want the vertical shift though, if this is computer graded, or if your instructor is, what's the word, a little obtuse & rigidly dogmatic?

y=5x +0 to y=5x +4 is a vertical shift up

y= 5(x+0) + 0 to y-5(x+4)+0 is a horizontal shift left by 4

they're the same thing graphically or algebraically

Answer 3

Vertical shift up of 4 units.