Answer:
.
Step-by-step explanation:
If a graph touches the x-axis at x=c, then (x-c) is a factor of function.
From the given graph it is clear that the graph of function intersect x-axis at x=1 and touch the x-axis at x=-2.
It means (x-1) and (x+2) are not factors of given function but power of (x+2) must be 2.
So, the required function is
...(1)
where, a is a constant.
From the given figure it is clear that the graph passes through the point (-4,-7). So, substitute x=-4 and f(x)=-7 in the above function.
Substitute
in (1).
Therefore, the required function is
.
<h3>
Answer: reflection over x axis</h3>
g(x) = -f(x) is the same as g(x) = -1*f(x)
Since y = f(x), we are really saying g(x) = -1*y. Whatever the y coordinate is on f(x), multiply it by -1. This turns something like y = 2 into y = -2, or something like y = -3 into y = 3, etc etc. Visually this reflects the point over the horizontal x axis. Do this to all points on f(x), and the entire curve reflects over the x axis.
I show an example of y = x^2 turn into y = -x^2 in the attached image below.
Answer: 644
Step-by-step explanation:
700 - 56 = 644