Answer:
vertex = (- 1, - 4 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
y = x² + 2x - 3 ← is in standard form
with a = 1, b = 2 , then
x = -
= - 1
Substitute x = - 1 into the equation for corresponding value of y
y = (- 1)² + 2(- 1) - 3 = 1 - 2 - 3 = - 4
vertex = (- 1, - 4 )
If AB is parallel to CD, then A’B’ is parallel to C’D’.
Answer:
After expanding the polynomial
we get 
Step-by-step explanation:
We need to expand the polynomial 
Multiply the terms:

So, after expanding the polynomial
we get 
Answer
Find out the number of hours when the cost of parking at both garages will be the same.
To prove
As given
There are two parking garages in beacon falls .
As given
Let us assume that the y is representing the cost of parking at both garages will be the same.
The total number of hours is represented by the x.
First case
Garage a charges $7.00 to park for the first 2 hours ,and each additional hour costs $3.00 .
As garage charges $7.00 for the first 2 hours so the remaning hours are (x -2)
Than the equation becomes
y = 3.00 (x -2) + 7.00
written in the simple form
y = 3x - 6 +7
y = 3x + 1
Second case
Garage b charges $3.25 per hour to park.
than the equation becomes
y = 3.25x
Compare both the equations
3x +1 = 3.25x
3.25x -3x = 1
.25x = 1

x = 4hours
Therefore in the 4 hours the cost of parking at both garages will be the same.
Answer:
Probabilities can be written as fractions, ratios, or as a percentage.
Step-by-step explanation:
If someone asks to flip a coin for heads or tails it has a probability of 1:2, 1/2, or 50% to land on either sides.. They all mean the same value.