Quick 30 the graph of function g is a vertical stretch of the graph of function f by a factor of 5. which equation describes function g?a. g(x)=1/5f(x) b. g(x)=5f(x) c. g(x)=f(x5) d. g(x)=f(5x)

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.

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:

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|.

Hence, we choose B

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step-by-step explanation:

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