What kind of transformation converts the graph of f(x)= – 8x–6 into the graph of g(x)= – 4x–3?

Answer 1

Looking at both parts of the functions, we can see that there have been changes in both the coefficient and the constant. There has been a change of -4x to -8x, so if we imagine this on a graph without any constant, we know that when x=1, f(x)=-8 and g(x)=-4. So there has been a vertical compression by a factor of 1/2. And if we look at the constant, we see that it has been changed from -6 to -3, so it has been vertically translated upward by 3. So the y-intercept is 3 units higher in g(x) than f(x).

Answer 2

upward shift by 3

vertical stretch by factor of 2