Answer:
g(x) = (x + 1)^2 + 3
Step-by-step explanation:
When x is replaced by x - h, it results in a horizontal translation of h units.
When y is replaced by y - k, it results in a vertical translation of k units.
f(x) = x^2 is the original function.
Rewrite it as
y = x^2
To translate it 1 unit left, you need h = -1.
x - h = x - (-1) = x + 1. Replace x with x + 1.
Now you have y = (x + 1)^2.
To translate 3 units up, you have k = 3.
y - k = y - 3. Replace y with y - 3.
y - 3 = (x + 1)^2
Solve for y.
y = (x + 1)^2 + 3
Replace y with g(x).
g(x) = (x + 1)^2 + 3
12 divided by 2, 24 divided by 4, 54 divided by 9, and 36 divided by 6.
Answer:
C. -n - 2
Step-by-step explanation:
Since there are no parenthesis for 3n + 2, you only distribute the 2 to (-2n - 1):
3n - 4n - 2
-n - 2
Answer:
g(x) = -6 - 3x
f(x) = X^6
Step-by-step explanation:
So you wanna find the area of each surface:
For the large square surface in the top you do 12*15=180 and there are two large squares faces so you multiply 180 by 2 which equals 360 then you find the small rectangle faces: 5*15=75 and multiply by 2 Bc there are 2 faces like that so it would be 75*2=150 then for the last faces you do 12*5= 60 *2= 120 at the end I add all of the faces up, 360+150+120=630