Question

HELP QUICK 30 POINTS!!

Answer 1

Answer:

B. g(x)=5f(x) ​​

Step-by-step explanation:

The graph of function g is a vertical stretch of the graph of function f ​​by a factor of 5. Let analyse all the possible answers:

• For C and D are the same transformation and they are only be transformed horizontally and be compressed over the x-axis.

When 0 < |a| < 1 (when a is between 0 and 1), the function is compressed vertically by a dilation factor of |a|.

When |a| > 1 (when a is greater than 1), the function is stretched vertically by a dilation factor of |a|.

Lastly, when a is negative, the function is reflected in the x-axis and then it is stretched or compressed vertically by a dilation factor of |a|.

• For A, the parameter 0 < a =1/5 < 1, so it will make the original function compress vertically over the y-axis
• For B, the parameter a= 5> 0, so it will make the original function stretch  vertically over the y-axis

Hence, we choose B

Answer 2

Answer:

B

Step-by-step explanation:

For answer A it is stretching the graph of function f by a factor of 15.

For answer C and D it is changing the function itself and that is not what the question is asking.