If function f is vertically stretched by a factor of 2 to give function g, which of the following functions represents function g?

f(x) = 3|x| + 5

a. g(x) = 6|x| + 10

b. g(x) = 3|x + 2| + 5

c. g(x) = 3|x| + 7

d. g(x) = 3|2x| + 5

A. g(x) = 6|x| +10

Step-by-step explanation:

The parent function is given as:

f(x) = 3|x| + 5

Applying transformation:

function f is vertically stretched by a factor of 2 to give function g.

To stretch a function vertically we multiply the function by the factor:

2*f(x) = 2[3|x| + 5]

g(x) = 2*3|x| + 2*5

g(x) = 5|x| + 10

Option A.

Step-by-step explanation:

There are some transformations for a function f(x).

One of the transformations is:

If and , then the function is stretched vertically by a factor of "k".

Therefore, if the function provided is vertically stretched by a factor or 2, then the transformation is the following:

Applying Disitributive property to simplify, we get that the function g(x) is:

step-by-step explanation:

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step-by-step explanation: