Answer: a) y = f(x - 6)
b) y = f(x) - 2
<u>Step-by-step explanation:</u>
For transformations we use the following formula: y = a f(x - h) + k
- a = vertical stretch
- h = horizontal shift (positive = right, negative = left)
- k = vertical stretch (positive = up, negative = down)
a) f(x) has a vertex at (-1, 1)
M has a vertex at (5, 1)
The vertex shifted 6 units to the right → h = +6
Input h = +6 into the equation and disregard "a" and "k" since those didn't change. ⇒ y = f(x - 6)
b) f(x) has a vertex at (-1, 1)
N has a vertex at (-1, -1)
The vertex shifted down 2 units → k = -2
Input k = -2 into the equation and disregard "a" and "h" since those didn't change. ⇒ y = f(x) - 2
Answer:
x=2
Step-by-step explanation:
11x+2=24
11x=22
22/11=2
x=2
Answer:

Step-by-step explanation:
The radical
can be simplified by breaking it down into factors and removing the perfect squares from inside the radical.

25 is a perfect square and is 5 outside the radical.
is a perfect square and is x outside the radical.
is a perfect square and is
outside the radical.
Answer:
12 answer
Step-by-step explanation:
(8x-34)=(5x+2) (correspounding angle)
8x-5x=34+2
3x=36
x=36/3
x=13