Answer:
x^2+8x+16
(x+4)^2
Step-by-step explanation:
x^2 +8x
Take the coefficient of the x term
8
Divide by 2
8/2 =4
Square it
4^2 =16
x^2+8x+16
We can factor it into
(x+8/2) ^2
(x+4)^2
The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
- If n < 0, the translation is downwards.
- if n > 0, the translation is upwards.
And a horizontal translation of n units as:
g(x) = f(x + n).
- if n > 0, the translation is to the left.
- if n < 0, the translation is to the right.
Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
If you want to learn more about translations:
brainly.com/question/24850937
#SPJ1
Answer:
I only figured out two points which is (0,2) (1,3)
Step-by-step explanation:
Answer:
<h2>n + 14 = 17</h2><h2>n = 3</h2>
Step-by-step explanation:
Sum of 14 and number means "n + 14" and equals 17 means "= 17."
Now that we have an equation, we can solve.
<h3>Step 1: Subtract 14</h3>
n = 3
<h3>Step 2: Check</h3>
3 + 14 = 17
17 = 17 ✔
I'm always happy to help :)
Answer:
Not sure if I was ever able to help you but I hope you have an amazing future<#