Answer:
1625
Step-by-step explanation:
35 x 5 = 175
175 + 1450 = 1625
Answer:
A
Step-by-step explanation:
For transformation functions;
(x-2), the 2 represents horizontal shift (left or right)
if it is a positive= shift left
if it is a negative= shift right
since it is -2, the vertex of the graph is shifted right by 2 units.
For the +3 on the outside of h(x-2), this addresses the vertical shift.
Since it is +3, this means that the graph's vertex is shifted up.
N=10-7
n=3
Now
2n-2
2*3-2
6-2
4
9514 1404 393
Answer:
m = 2k/v
Step-by-step explanation:
Identify the coefficient of m (v/2) and multiply by its inverse (2/v).
(2/v)k = (2/v)m(v/2) . . . . multiply both sides of the equation by 2/v
2k/v = m . . . simplify
m = 2k/v
A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:
y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)
In this case we are given that (h,k) is (-5,80) so we have so far:
y=a(x--5)^2+80
y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:
-45=a(0+5)^2+80
-45=25a+80 subtract 80 from both sides
-125=25a divide both sides by 25
-5=a, so now we know the complete vertex form is:
y=-5(x+5)^2+80
The x-intercepts occur when y=0 so:
0=-5(x+5)^2+80 add 5(x+5)^2 to both sides
5(x+5)^2=80 divide both sides by 5
(x+5)^2=16 take the square root of both sides
x+5=±√16 which is
x+5=±4 subtract 5 from both sides
x=-5±4 so the x-intercepts are:
x=-1 and -9
