Question

If `y 12x- 7` were changed to `y=12x+ 1`, how would the graph of the new function compare with the original?

Answer 1

The new function would be shifted vertically up by 8.

Explanation:

Given: `f(x) = 12x - 7 " and " g(x) = 12x + 1`

Both functions are in the form `y = mx + b`, where `m =`slope and `b` is the `y`-intercept `(0, b)`

Both functions have the same slope, `m = 12`. This means they are parallel.

The first function has a `y`-intercept `(0, -7)` and the second function has a `y`-intercept `(0, 1)`. This is a positive difference of `8`.

This means the new function would be shifted vertically up by `8` from the first function.