The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)
If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
We have been given that on a coordinate plane a line with negative slope passes through points 
and 
. We are asked to find the rate of the change of the function.
We know that slope represents rate of change of function.
We will use slope formula to solve our given problem.
Let 
and 
.
Therefore, the rate of change of the given function is 
.
where are the numbers am not seeing them
Answer:
y=2x-2
Step-by-step explanation:
Slope intercept form = y=mx+b
Where m=slope and b= y intercept
Reminder: the y intercept is where x=0
Looking at the graph, the y intercept is given as (0,-2)
There are also two points given (0, -2) and (2,2)
Reminder: to find the slope, divide the changes in y by the changes in x or substitute the numbers into this equation: y2-y1/x2-x1
2-(-2)/2-0=4/2
m=2
Now that we have the slope and y intercept, sbstitute into the equation y=mx+b:
y=2x-2
