Answer:
A. y = 7(x + 1)²-3
Step-by-step explanation:
Parabola:
Putting into vertex form, remember that:
In this question:
, to put into this format:
We add one inside the parenthesis to do this. The parenthesis is multiplied by 7, so for the equivalent, we also have to subtract 7. Then
Vertex form:
So the correct answer is:
A. y = 7(x + 1)²-3
Answer:
Not a Solution
Step-by-step explanation:
We are given two inequalities which are
y ≤ x -4 .............(i)
-x+3y>-4 ............(ii)
Also we are given an ordered pair which is (5, 1/3)
Now from this order pair we see that
x = 5 and y = 1/3
Because in an ordered pair the first element represents the x value while the second value represent the y value
Now to find whether this order pair satisfies the given inequality or not we have to plugin the values of x and y in both inequalities separately and see whether it satisfies the in equality or not
Taking First inequality:
which is
y ≤ x -4
Putting x = 5 and y = 1/3 in inequality
it becomes
≤ 5 -4
≤ 1 ∵ which is true
So this inequality holds the order pair
Taking second inequality:
which is
-x+3y> -4
Putting x = 5 and y = 1/3 in inequality
it becomes
-5+ > -4
-5+1 >-4
-4>-4 ∵ which is false because - 4 = - 4
So this inequality does not holds the order pair
So the order pair is not solution of the given inequalities because of the reason that second inequality is not satisfied
