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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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Answer:

The ac product of 35x^2+41x+12 is <u>420</u>.

The factors of the ac product that add to 41 are <u>20</u> and <u>21</u>.

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Step-by-step explanation:

1) The general form of a quadratic is ax^2 + bx + c. Hence, multiplying 35 by 12 gives you the product of ac, which is 420.

2) We need to find two numbers that multiply to 420 and add up to 41 <u>simultaneously</u>. If we pull out the factors of 420, two of them will be 20 and 21, which multiply to 420 as well as add up to 41.

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(7x+4)(5x+3)

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