The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.
Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.
From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>
Answer:
first of all, this person is a hacker, their malicious files will destroy your computer
Step-by-step explanation:
B is the answer I think
Answer:
h = 3.6
Step-by-step explanation:
This is just substituting in for variables and solving for x. The hard part is knowing the formula.
R = h((a+b)/2) where a and b are the 2 different bases, h is the height or latitude, and R is the area of a trapezoid, is the formula.
Given that R = 8.1, a = 1 and b = 3.5, we can substitute these equations in the formula.
(8.1) = h(((1) + (3.5)) / 2)
= h((4.5) / 2)
= h(2.25)
8.1/2.25 = h
3.6 = h
In the smaller triangle, let 
be the length of the smallest leg. Then the smallest leg in the larger triangle is 
.
Within the scope of the smaller triangle, we have such that
Then within the larger the triangle, we would have
Now we can solve for 
:
