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>
JK= 8, because x+3= 2x-5= 19
There are 25 students.
Let g = girls, and b = boys
g = 1/2b + 10
g + b = 25
Plug in 1/2b + 10 for g
(1/2b + 10) + b = 25
3/2b + 10 = 25
isolate the b, subtract 10 from both sides, and then multiply by 2/3
3/2b + 10 (-10) = 25 (-10)
3/2b = 15
(3/2b)/(2/3) = 15(2/3)
b = 30/3
b = 10
Subtract 10 from 25 to get the number of girls
25 - 10 = 15
g = 15
There are 10 boys in the class.
hope this helps
