Consider the horizontal and vertical translations.
See solution.
Practice makes perfect
Let's begin by sketching their graphs. The first graph has a slope of 2 and a y-intercept of 0. To draw the second graph, we will write it in slope-intercept form.
The second graph also has a slope of 2 but a y-intercept of 7. Let's graph this stuff!
If we recall the chapter on transformations, we know that:
Horizontal Translation:& f(x-h)
Vertical Translation:& f(x)+k
By rewriting the general point-slope form, we can relate it to these types of transformations.
y-k=m(x-h) ⇔ y=m(x-h)+k
We see that point-slope form represents a horizontal translation by h and a vertical translation by k of the function y=mx. Let's substitute k=1 and h=- 3 into this general equation and simplify
