Question

If you wanted to make the graph of y = 8x - 10 less steep, as well as shift the

y-intercept of this line down, which equation could you use?

Answer 1

If we apply a vertical dilation of scale factor 0.5 we get:

g(x) = 4x - 5

What transformation should we use?

We want to make the graph of y = 8x - 10 less step and with a lower y-intercept, so we can just apply a vertical dilation with a scale factor between 0 and 1, this will decrease both of the coefficients.

For example, if we use k = 0.5, we will get the new function:

g(x) = 0.5*f(x)

g(x)= 0.5*(8x - 10)

g(x) = 4x - 5

Answer 2

4x-15=y

Explanation:

The higher the rise over the run the more steep your slope will be thus 4x is less steep than 8x because it does not rise as much.

The y intercept shifted downward means anything (-10>b) can be plausible for b.