Question

The functions f(x) and g(x) are described below: f(x) = 7x + 9 g(x) = 7x − 4 The graph of g(x) is obtained by shifting down the graph of f(x) by _____ units. Numerical Answers Expected!

Answer 1

13

Explanation:

The slope-intercept form of a line is given as:

`y=mx+c`

Where,

• m is the slope, and
• c is the y-intercept [the point in the axis where is cuts the y-axis]

So our first equation of
`f(x)=7x+9` has a y-axis cutting point at +9. The second equation of
`g(x)=7x-4` has a y-axis cutting point at -4. So, we can translate
`f(x)` 9 units to come down to
`y=0` and another more 4 units to come down to
`y=-4`. In total we have to shift
`f(x)` 13 units down to get to
`g(x)`.

The graphs of both the equations is shown in the attached picture for better understanding [ RED line is
`f(x)`; BLUE line is
`g(x)`]