Question

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

Answer 1

@DanJS @Hero @Afrodiddle

Answer 2

@Michele_Laino @Miracrown

Answer 3

I think its C :)

Answer 4

Maybe B? I am just not sure :(

Answer 5

@ganeshie8

Answer 6

\(\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?

Answer 7

I think that tthe answer is B

Answer 8

@jdoe0001

Answer 9

is it? what makes you think is B?

Answer 10

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

Answer 11

@jdoe0001

Answer 12

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

Answer 13

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

Answer 14

lol all good :)

Answer 15

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

Answer 16

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

Answer 17

because it says +22... arrgghh

Answer 18

and yes lol

Answer 19

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

Answer 20

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

Answer 21

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

Answer 22

so its BBBBBBBBBBBB!

Answer 23

@jdoe0001 @mathway

Answer 24

correct, the +22 in the function transformation, refers to a vertical shift, D > 0, means is upwards

so 'y" is up bu 22 units

Answer 25

up rather, by 22 units

Answer 26

thankkkksss!! :) Good night!

Answer 27

yw