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Oksi-84 [34.3K]
3 years ago
5

Consider this graph of a quadratic function.

Mathematics
1 answer:
amid [387]3 years ago
3 0

Answer:

Step-by-step explanation:

The shape of the graph is called a PARABOLA.

The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers greater than or equal to (-4).

[Parabola is opening upwards and the lowest point is it's vertex (2, -4). Therefore, range of the function will be y ≥ -4]

When x = -1,

Value of the function 'f' will be,

f(x) = 5

[Graph passes through (-1, 5)]

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1.Which is an equivalent form of the equation 3x-3y=15?
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1) The given equation is 3x-3y=15

To solve for y we subtract 3x both sides:

3x-3x-3y=-3x+15

-3y=-3x+15

With y term -3 is multiplied .We perform the opposite operation both sides that is divide by -3 both sides we have:

y=x-5

Option A :y=x-5 is the right answer.

2) |2x-1|=3

We can remove the absolute sign by forming equations  taking both the positive and negative signs:

2x-1=3   or                            2x-1=-3

Solving the two equations for x:

2x=3+1            or               2x=-3+1

2x=4 ,x=2.                        2x=-2 , x=-1 .

Option a)x=2 or x=-1 is the right answer.

3)  2< 3x-1 ≤ 5

Adding 1 to all the sides we have:

3<3x≤ 6

Dividing by 3 :

1<x≤ 2.



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