Answer:
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
where (h,k) is the vertex of the parabola
The axis of symmetry is equal to
In this problem the parabola open upward
so
the coefficient a is positive
The coordinates of the vertex will be 
(the y-coordinate is negative)
so
the equation will be of the form
Answer:
Step-by-step explanation:
Let, A=(3,2)
B=(-1,10)
So, The equation will be
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X+9 ? I'm not sure if that was the kind of answer you were looking for but that's what I got out of that.
Answer:
Option 4 is correct.
Step-by-step explanation:
Consider a function g, it has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18. It is given that g(-1) = 2 and g(2) = 8.
The statement g(5) = 12 is not true because the value of x is 5 which is not in its domain.
The statement g(1) = -2 is not true because the value of function g(x) is -2 which is not in its range.
The statement g(2) = 4 is not true because g is a function and each function has unique output for each input value.
If g(2)=8 and g(2)=4, then the value of g(x) is 8 and 4 at x=2. It means g(x) is not a function, which is contradiction of given statement.
The statement g(3) = 18 is true because the value of x is 3 which is in the domain and the value of function g(x) is 18 which is in its range.
Therefore, the correct option is 4.
Hi there!
To derive an equation given the points, we can use the slope formula:
Plug in the corresponding coordinates:
Simplify:
Therefore, we have:
y = -4x + b
Plug in the x and y values for a coordinate to solve for b:
2 = -4(1) + b
2 = -4 + b
b = 6
The equation is:
y = -4x + 6. The correct answer is D.
