The graph y = 5^(x-3)+4 is a transformation of its parent graph y = 5^x. Identify each effect of the transformation.

Question

1. Right 4
2. Left 4
3. Left 3
4. Stretch by 5
5. Shrink by 5
6. Down 3
7. Up 4
8. Up 3
9. Down 4
10. Right 3

Not all may be selected

Answer 1

7 up 4

10 right 3

no stretch or shrinks, as the coefficient remains the same implicit 1

y = 5^x is an exponential function, always >0, with y intercept =1

y =5^(x-3) + 4 is the same shaped exponential function shifted up by the contant term 4, with y always greater than 4,

and shifted right by the negative value of the number added to x, --3 = +3