Answer:
B
Step-by-step explanation:
Given f(x) then f(x + a) is 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
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
g(x) is f(x) shifted 3 units right and 1 unit up , then
g(x) = (x - 3)² + 1 → B
Answer:
Scalene triangle (As the definition says)
So if you subtract the 0 out from the left side, the equation is now

. Since a x is common in both of the terms on the left side, you can factor it out, now making the equation look like

. When factoring, each of the separate things (x and (x-3)), must equal zero while the other one doesn't matter. So in order for the equation to be 0, the only potential options for x is 0 and 3. Therefore x=0 and x=3 are the two solutions
Answer:

Step-by-step explanation:
Given


Required
The inequality
From the question, we understand that;
the number of p used is more than the number of s
<em>more than means greater than.</em>
So, the inequality is:

To represent this on a number line.
First, we identify the position of s (i.e. scarf)
implies that p is any point to the right of s