Answer:
A) a vertical line does not represent a function.
Step-by-step explanation:
For a relation to be a function for each value of 
there must be only one value of 
. In other words a function is one in which each value in the domain set corresponds to only one value in the range set.
Let us check for this condition in the give choices:
A) a vertical line
A vertical line is given as 
which meas it is parallel to y-axis and has infinite number of values for a single value.
So, its Not a function
B) 
For the given equation, on plugging in some value will give a single value.
So, its a Function
C) a horizontal line
A horizontal line is given as 
which meas it is parallel to x-axis and has infinite number of values giving a single value.
So, its a Function
D) {(1, 7), (3,7), (5, 7), (7,7)}
For the given set for different valuesthere is only one value.
So, its a Function
The vertex of the parabola is (1, 2), focus of the parabola is (-2, 2), and directrix x = 4.
<h3>What is a parabola?</h3>
It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a parabola equation:
The standard form of the parabola:
(h, k) is the vertex of the parabola and (f, k) is the focus.
h = 1, k =2, and f = -2
The directrix is x = 4
Thus, the vertex of the parabola is (1, 2), focus (-2, 2), and directrix x = 4.
Learn more about the parabola here:
brainly.com/question/8708520
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Answer:
(x + 1 s 1) n (x + 12 1)
(x +1<1) n (x + 1 > 1)
Step-by-step explanation:
Just simplify each the statements.
Then compare and and see if the statements are contradictory and therefore FALSE, if so, then there is no solution.
(x + 1<-1) n (x + 1< 1)
(x <-2) n (x < 0) which is true, so there is a solution.
(x + 1 s 1) n (x + 12 1)
this doesn't make sense so there is no solution.
(x +1<1) n (x + 1 > 1)
(x < 0) n (x > 0)
This is not possible, the statements are contradictory and therefore FALSE, so there is no solution.
