Answer:
vertical translation of 3 units down
Step-by-step explanation:
we have

The vertex of the graph of f(x) is the point (0,0)

The vertex of the graph of g(x) is the point (0,-3)
see the attached figure to better understand the problem
so
The transformation of f(x) to g(x) is
f(x) -----> g(x)
(0,0) -----> (0,-3)
(x,y) -----> (x,y-3)
That means -----> The translation is 3 units down
therefore
vertical translation of 3 units down
Answer:
49x² + 42x + 9
Step-by-step explanation:
Given
(7x + 3)²
= (7x + 3)(7x + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
7x(7x + 3) + 3(7x + 3) ← distribute both parenthesis
= 49x² + 21x + 21x + 9 ← collect like terms
= 49x² + 42x + 9
Answer:
15.78°
Step-by-step explanation:
Let the angle be x.
From the x, the known sides are the opposite side, O(13) and the adjacent side, A(46)
Therefore, The trigonometric ratio is the tangent ratio.
tan x = O/A
tan x =13/46
x = 15.78°
X/3=2
x=6
x/5=3
x=15
x/7=2
x=14
Each time, you multiply both sides by the denominator.
Hope this helps :)