Question

PLEASE HELP ME

Answer 1

Remember that stretching or compressing the graph of a function is a transformation in which you multiply the whole function by a constant $a$. If $0\ \textless \ a\ \textless \ 1$, you are compressing the graph of the function by a factor of $a$. If $a\ \textgreater \ 0$, you are stretching the graph of the function by a factor of $a$.

1. Here we want to stretch the graph by a factor of 2. Since 2 > 1, we just need to multiply the whole function by 2. Therefore, A stretch by a factor of 2 for the exponential growth function f(x)= a(9/4) occurs when a =2.

2. Here we want to stretch the graph by a factor of 11/3. Since 11/3 > 1, we just need to multiply the whole function by 11/3. Therefore, a stretch by a factor of 11/3 for the exponential decay function f(x)= a(3/5) occurs when a=11/3.

3. Here we want to compress the graph by a factor of 1/3, so $0\ \textless \ a\ \textless \ 1$. The only number in our options that satisfy that condition is 1/3. Therefore, a shrink by a factor of 1/3 for the exponential growth function f(x)= a(7)^x occurs when a = 1/3.

4. Here we want to compress the graph by a factor of 2/5, so $0\ \textless \ a\ \textless \ 1$. since 0<2.5<1, we just need to multiply the whole function by 2/5. Therefore, A shrink by a factor of 2/5 for the exponential decay function f(x)= a(2/9)^x occurs when a =2/5.

Answer 2

Answer:

1.c

2.d

3.a

4.b

Step-by-step explanation: