Answer:
g(x) = (x -3 )^2 + 2
Step-by-step explanation:
f(x) = (x + 2)^2 + 2
We want to shift this 5 units to the right
The parabola is written in the form
y = a(x-h) ^2 +k where (h,k) is the vertex
The vertex is at ( -2, 2)
We want to shift it 5 units to the right
-2+5 = 3
g(x) = (x -3 )^2 + 2
Answer:
one months bill would be $32+$0.75X=$47 X= minutes use over given time.
X= 20
Step-by-step explanation:
Answer:
80 mm
Step-by-step explanation:
Pythagorean theorm can be applied here to solve for the length of the last leg,
+
=
, where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:
b = √c^2 - √a^2
= √(82)^2 - √(18)^2
= √6724 - √324
= √6400
= 80 mm
Answer:
Hyperbola.
Step-by-step explanation:
We start from the function:

We may get the traces if we cut the surface in planes x=k. This is equivalent to replace x for k:

The last equation is the equation of an hyperbola, which varies its characteristics depending on K (the plane cut).