Answer:
Option C.
Step-by-step explanation:
Melissa believes the following graph shows direct variation.
We need to find Melissa’s error.
If a variable y directly proportional to x, the
It can be written as
where, k is constant of proportionality.
It is a linear function with slope k and it passes through the origin.
From the given graph it is clear that the function is a straight line, it means the graph is a linear function and the rate change is constant.
But, it does not pass through the origin. So, the given graph does not represent the direct variation.
Therefore, the correct option is C.
The General Equation of Parabola having vertex at (0,0) and Focus(a,0) and (0,a) is
or
Now ,the Given equation of parabola having vertex at (0,3) is
x^2=y-3
It is 3 unit above y axis. So the parabola will open in the upward direction.
Out of all the options provided which are
1.y = (x - 3) ^2
2.y = (x + 3) ^2
3.y = x ^2 - 3
4.y = x^ 2 + 3
Option 4. y = x^ 2 + 3 is correct.