Sorry I was moving around taking the picture and my handwriting is sloppy. But I hope you understand how I got the answer
Answer:

Step-by-step explanation:
For the equation
use the substitution
Then the equation will take look

Solve this quadratic equation:

Thus,

Answer:
vertex = (- 2, 6)
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Here a = 5 , thus a horizontal translation left by 5 units.
Thus
vertex of g(x) = (3 - 5, 6 ) = (- 2, 6 )
Answer:
It's D
Step-by-step explanation:
2t - 30(
) = 20
2t -
(
) = 20
2t -
= 20
2t - 6 = 20
2t - 6 + 6 = 20 +6
2t = 26
= 
t = 13
<h2>
Answer:</h2>
shift
<h2>
Step-by-step explanation:</h2>
These are common types of transformations of functions. Many functions have graphs that are simple transformations of the parent graphs, that are the most basic functions. In this way, we can use vertical and horizontal shifts to sketch graphs of functions. These are rigid transformations because the basic shape of the graph is unchanged. Therefore
is a Horizontal Shift, so the graph of the function
has been shifted 3 units to the right.