Answer:

Step-by-step explanation:
we have

This is the equation of a vertical parabola open upward
The vertex is a minimum
The equation of a vertical parabola in vertex form is equal to

where
(h,k) is the vertex
Convert the given function to vertex form
Factor the leading coefficient

Complete the square


Rewrite as perfect squares
------> equation in vertex form
The vertex is the point (2,6)
Answer:
c the answer is c
Step-by-step explanation:
I'm not sure if that is supposed to be 7 or -7
If it's -7:
1<2n-5<-7
+5 +5 +5 Add 5 to all parts of the inequality get 2n by itself
6<2n<-2
/2 /2 /2 Divide all parts by 2 to isolate the variable
3
Answer:
x^3-1
Step-by-step explanation:
f(x)=g(x)-1 since was shifted down 1 unit x^3-1
f(x)=g(x)+1 would have been a shift up of 1 unit x^3+1
f(x)=g(x-1) shifted right 1 unit (x-1)^3
f(x)=g(x+1) shifted left one unit (x+1)^3
Anyways the answer is f(x)=x^3-1
Answer:
Step-by-step explanation:
Corresponding angles: ∠2=∠ 6 ; ∠1 = ∠5 ; ∠4 = ∠8; ∠3 =∠7
Vertically opposite angles: ∠1 = ∠3; ∠2 = 4; ∠5 = ∠7 ; ∠6 = ∠8
Interior angles : ∠4, ∠3 , ∠6, ∠7
alternate interior angles are equal: ∠3 = ∠5 ; ∠4 = ∠6