Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
g (x + 5) = (x + 5) 2 + 3 (x + 5) - 4
Rewriting we have:
f (x) = x ^ 2 + 10x + 25 + 3x + 15 - 4
f (x) = x ^ 2 + 13x + 36
Equaling zero we have:
x ^ 2 + 13x + 36 = 0
We look for the roots of the polynomial:
(x + 9) (x + 4) = 0
x1 = -9
x2 = -4
Answer:
The zeros of the new function are:
x1 = -9
x2 = -4
Answer:
70 / 3
Step-by-step explanation:
x / 7 = 10 / 3
x = ( 10 / 3 ) x 7
= ( 10 x 7 ) / 3
x = 70 / 3
Answer:
21.5
Step-by-step explanation:
Answer:
C. 8 units right and 5 units down
Step-by-step explanation:
since it's only a translation, take one point as an example. lets say the bottom right point on trapezoid P is point A, and the translated point on P' is A'. the coordinates of A are (-3,2) while the coordinates of A' are (5,-3). (-3+x,2+y)=(5,-3). -3+x=5, x=8; 2+y=-3, y=-5
Archduke Ferdinand is killed. During the conflict, Germany, Austria-Hungary, Bulgaria and the Ottoman Empire (the Central Powers) fought against Great Britain, France, Russia, Italy, Romania, Japan and the United States (the Allied Powers). In the end after 4 years the Allied Powers won. 16 million people were killed. Germany was put to account for everything in the Treaty of Versailles.
Hope that helps
