Explanation
Given a function f(x) we translate the function:
• a units horizontally (a > 0 to the right, a < 0 to the left),
,
• b units vertically (b > 0 up, b < 0 down),
by the transformation:

In this case, we have:

Comparing f(x) and g(x) with the general transformation above, we see that the graph of g(x) is the graph of f(x) translated:
• a = 2 units to the right,
,
• b = 4 units up.
Translating the graph of f(x), we get:
Answer
The translated graph is the graph in red:
Answer:
there is one real solution
Step-by-step explanation:
use the quadratic formula. what is in the square root is called the discriminant.
since it came out to 0 there is one real solution
Answer:
konrad= 1 shorts, 1 shoes, and 1 shirt
mareek= 1 shirts, 1 pair of shoes, and 3 hats
ming= 1 shorts, 2 shirts, and 2 hats
Step-by-step explanation:
Answer:
456
Step-by-step explanation:
Number of chairs around the round tables = 6×7=42
Number of chairs around the rectangular tables =23×18=414
The total number of chairs in the cafeteria = 6×7+23×18=456
Answer:
Both ends go up.
Step-by-step explanation: