First, the graph is a parbole, this is a square function, so it can not be the option a) because it is a linear function.
Second, the vertix of the parabole is the point (0,3), so use the general vertex form of the parabole:
y = A(x - h)^2 + k, where h and k represent the vertex (h,k).
So, the form of the funtion is y = A (x-0)^2 - 3 = Ax^2 - 3
Now, you also know that the roots of the parabole are close to -1 and 1 but they are not those exact value.
So, find the roots for any of the possible options:
b) f(x) = 2x^2 - 3 = 0 => 2x^2 = 3 => x^2 = 3/2 => x = +/- √(3/2) ≈ +/- 1.22
That is a very plausible answer
c) f(x) = (1/2)x^2 - 3 = 0 => x^2 = 2*3 = 6 => x = +/- √6 ≈ +/- 2.45, which is very far from the roots shown on the graph.
3) f(x) = x^2 - 3 = 0 => x^2 = 3 => x = +/- √3 ≈ +/- 1.73, which is not so close to +/- 1.
So, the answer is the option b) f(x) = 2x^2 - 3
Answer:
d.all of the above
Step-by-step explanation:
System of equations with no solution means that lines are parallel to each other,don have any common point.
Note that two lines are parallel if their slopes are equal and they have different y-intercepts.
So all the alternatives are true.
Answer:
55 minutes
Step-by-step explanation:
Use a proportion.
x = the number of minutes.
Answer:
She can paint <u>6 rooms</u>.
Step-by-step explanation:
Given:
Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint.
If Maya buys 9 cans of paint.
Now, to find the rooms she can paint.
So, we use unitary method to get the number of rooms:
If, 
cans of paint is needed to paint 1 room.
Then, 1 can of paint is needed to paint = 
room.
Thus, 9 cans of paint is needed to paint = 
Therefore, she can paint 6 rooms.
