The linear parent function is transformed to create the new function g(x)=12f(x−13). What is the correct description of the transformations. The new function g(x) is less steep than f(x) and shifted to the left 13 units.

The new function g of x is less steep than f of x and shifted to the left 13 units.

The new function g(x) is steeper than f(x) and shifted to the left 13 units.

The new function g of x is steeper than f of x and shifted to the left 13 units.

The new function g(x) is steeper than f(x) and shifted to the right 13 units.

The new function g of x is steeper than f of x and shifted to the right 13 units.

The new function g(x) is less steep than f(x) and shifted to the right 13 units

The new function g(x) is steeper than f(x) and shifted to the left 13 units.

Explanation:

Given

Required

Determine the relationship between f(x) and g(x)

First, we need to determine the direction which f(x) is shifted to (right or left)

For a function f(x)

f(x - h) implies that f(x) is shifted right by h units

So, f(x - 13) implies that f(x) is shifted right by 13 units

Next, we determine the steepness of f(x) and g(x)

We can assume that the steepness of f(x) is 1

The steepness of g(x) can be determined as follows:

Hence, the steepness of g(x) is 12

Going by the analysis above:

g(x) is steeper and f(x) is shifted 13 units right to get g(x)

a is the answer i believe.

(4,-2)

explanation:

6x+4y=16

-6x-9y=-6

-5y=10

y=-2

x=4