{y|y ≤ 5}. It means the maximum value of the function is 5. It is possible if the vertex of a downward parabola is in the form of (h,5).Answer:
Step-by-step explanation:Answer:
The correct option is 2.
Step-by-step explanation:
The range of a parabola is {y|y ≤ 5}.
It means the maximum value of the function is 5. It is possible if the vertex of a downward parabola is in the form of (h,5).
The vertex form of a parabola is
Where, (h,k) is vertex and a is a constant.
If a<0, then f(x) is a down ward parabola and if a>0, then f(x) is an upward parabola.
In option 1,
It is an upward parabola with vertex (4,5), therefore the range of the function is {y|y ≥ 5}. Option 1 is incorrect.
In option 2,
It is a downward parabola with vertex (4,5), therefore the range of the function is {y|y ≤ 5}. Option 2 is correct.
In option 3,
It is an upward parabola with vertex (5,4), therefore the range of the function is {y|y ≥ 4}. Option 3 is incorrect.
In option 4,
It is a downward parabola with vertex (5,4), therefore the range of the function is {y|y ≤ 4}. Option 4 is incorrect.
Answer:
The slope is 2/3 and the function is y=2/3x which is a direct variation function.
To find the slope of a line between two points, we use the equation
m = (y2-y1)/ (x2-x1)
where (x1,y1) and (x2,y2) are the two points
m= (4-2)/(6-3)
= 2/3
The slope of the line is 2/3
The equation of the line is
y-y1 = m(x-x1)
y-2 = 2/3(x-3)
Distribute
y-2 = 2/3x -2
Add 2 to each side
y-2+2 = 2/3x -2+2
y = 2/3x
This is a direct variation function
Let x = -6
y = 2/3(-6)
y = -4
(-6,-4)
