If you apply the changes below to the absolute value parent function, f(x) = [Xl,
which of these is the equation of the new function?
• Shift 2 units to the left.
• Shift 3 units down.

after transformations the new function is :

Step-by-step explanation:

Here we have to apply the changes below to the absolute value parent function, f(x) = | X l,  And find out  which of these is the equation of the new function. Let's find out:

Initially we had function . We have following changes as :

• Shift 2 units to the left.

According to above statement , Function is shifted 2 units left that means 2 units towards - x-axis ! i.e.

⇒

• Shift 3 units down.

According to above statement , Function is shifted 3 units down that means 3 units towards -y-axis ! i.e.

⇒

Therefore , after transformations the new function is : .

lo98765432wqasdfghjkloi87654567890

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.