F(x)=3x+1 (preimage) g(x)=x+1 (image) it is undergoing a reduction/compression with translation. In general, a linear transformation is g(x) = a*f(bx-h)+k h=horizontal translation (right if h>0, left if h<0, note formula has minus sign) k=vertical translation (up if k>0, down if k<0) a=vertical stretching, (stretching if |a|>1, compression if |a|<1, also, if a<0, a reflection across the x-axis is performed) b=horizontal stretching (|b|>0 compression, |b|<0 stretching, also, if b<0, a reflection across the y-axis is performed)
In this case, g(x)=f(x/3), so it is a horizontal stretching. Note that the y-intercept remains unchanged.
X^3-2x^2-5x+6 From the shape, you can immediately tell it’s one of the x^3 functions. Then I just put both in my calculator and looked for which one matched
