anonymous one year ago ILL MEDAL/FAN (NO DIRECT ANSWERS, PLZ) :) When the function f(x) = 3(5)^x is changed to f(x) = 3(5)^x + 22, what is the effect? There will be no change to the graph because the exponential portion of the function remains the same. The y-intercept is 22 spaces higher. The x-intercept is 22 spaces higher. All input values are moved 22 spaces to the right

1. anonymous

@DanJS @Hero @Afrodiddle

2. anonymous

@Michele_Laino @Miracrown

3. anonymous

I think its C :)

4. anonymous

Maybe B? I am just not sure :(

5. anonymous

@ganeshie8

6. jdoe0001

$$\bf \textit{function transformations} \\ \quad \\ \begin{array}{llll} \begin{array}{llll} shrink\ or\\ expand\\ by\ {\color{purple}{ A}}\end{array} \qquad \begin{array}{llll} vertical\\ shift\\ by \ {\color{green}{ D}} \end{array} \begin{array}{llll}{\color{green}{ D}} > 0& Upwards\\ {\color{green}{ D}} < 0 & Downwards\end{array} \\ % template start \qquad \downarrow\qquad\qquad\quad\ \downarrow\\ y = {\color{purple}{ 3}} (5)^{( x + {\color{red}{ C}} )} + {\color{green}{ D}}\\ %template end \qquad\qquad \quad \uparrow \\ \qquad\begin{array}{llll} horizontal\\ shift\\ by \ {\color{red}{ C}}\end{array} \begin{array}{llll}{\color{red}{ C}} > 0 & to\ the\ left\\ {\color{red}{ C}} < 0& to\ the\ right\end{array} \end{array}$$ what do you think?

7. anonymous

I think that tthe answer is B

8. anonymous

@jdoe0001

9. jdoe0001

is it? what makes you think is B?

10. anonymous

because f(x) is total y, and nothing else is changing.

11. anonymous

@jdoe0001

12. anonymous

Its either B or C, I know that much. @jdoe0001

13. anonymous

sorry my connection lost :( but I'm back! :D

14. anonymous

lol all good :)

15. jdoe0001

so.. ok... why is it B or C though?

16. anonymous

Hmmm I'm not quite sure how to explain it to you, but is x the exponent?

17. anonymous

because it says +22... arrgghh

18. anonymous

and yes lol

19. anonymous

lol my "bedtime" is soon, so B sounds right? Thats what I thought..

20. jdoe0001

ok now, notice the function transformations $$\bf \textit{function transformations} \\ \quad \\ \begin{array}{llll} \begin{array}{llll} shrink\ or\\ expand\\ by\ {\color{purple}{ A}}\end{array} \qquad \begin{array}{llll} vertical\\ shift\\ by \ {\color{green}{ D}} \end{array} \begin{array}{llll}{\color{green}{ D}} > 0& Upwards\\ {\color{green}{ D}} < 0 & Downwards\end{array} \\ % template start \qquad \downarrow\qquad\qquad\quad\ \downarrow\\ y = {\color{purple}{ 3}} (5)^{( x + {\color{red}{ C}} )} + {\color{green}{ 22}}\\ %template end \qquad\qquad \quad \uparrow \\ \qquad\begin{array}{llll} horizontal\\ shift\\ by \ {\color{red}{ C}}\end{array} \begin{array}{llll}{\color{red}{ C}} > 0 & to\ the\ left\\ {\color{red}{ C}} < 0& to\ the\ right\end{array} \end{array}$$ notice the vertical shift

21. anonymous

It cant be c, since the x value itself is not affected by the 22.

22. anonymous

so its BBBBBBBBBBBB!

23. anonymous

@jdoe0001 @mathway

24. jdoe0001

correct, the +22 in the function transformation, refers to a vertical shift, D > 0, means is upwards so 'y" is up bu 22 units

25. jdoe0001

up rather, by 22 units

26. anonymous

thankkkksss!! :) Good night!

27. jdoe0001

yw