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fomenos
3 years ago
15

Which of the following equations represents a graph that increases the most rapidly?

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
6 0
I would imagine it would be the first one because the coefficient of 4 has the greatest effect out of all of them
Tanya [424]3 years ago
4 0

Answer:

A . y =4x^{2} +10x -6

Step-by-step explanation:

Here the degree of all equations (polynomial) are 2 but the leading coefficient of x^{2} in all equation are different which are the following.

(1). The leading coefficient of x^{2} in the equation y =4x^{2} x^{2} +10x-6 is 4.

(2). The leading coefficient of x^{2} in the equation y =3x^{2}  +15x+18 is 3.

(3). The leading coefficient of x^{2} in the equation y =2x^{2} -x -15 is 2.

(4). The leading coefficient of x^{2} in the equation y= \frac{1}{2} x^{2} -\frac{5}{2} x-12 is 0.5.

In the above four equations the leading coefficient of x^{2} is greatest in the equation y=4x^{2}  +10x-6 .

Hence the graph of y =4x^{2} +10x -6is increases most rapidly.

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