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ddd [48]
3 years ago
11

The question is in image!!!!!! plz answer you’ll get 95 points!!

Mathematics
2 answers:
dybincka [34]3 years ago
4 0

Answer:

  • Option A is correct

Step-by-step explanation:

<u>Given functions f(x) and g(x). f(x) is:</u>

  • f(x) = x^2 + 4x + 6

<u>Converted into vertex form, it is:</u>

  • f(x) = (x + 2)^2 + 2

<u>g(x) has vertex at (-2, -14), it's vertex form is:</u>

  • g(x) = (x + 2)^2 - 14

Comparing f(x) and g(x) we see both have same x- coordinate of the vertex (x = -2).

Both have positive leading factors, therefore the vertex is their minimum point.

Function f(x) has vertex above the x-axis as y-coordinate of the vertex is positive. Hence no intersection with x-axis.

Function g(x) has negative y-coordinate of the vertex, so it has two intersections with x-axis.

Correct choice is A

loris [4]3 years ago
4 0

Answer:a

Step-by-step explanation:

Did it

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Up to this point, I know I'm not entirely wrong because the expression is true for the actual coordinates of the vertex, because 0=1+(−1) is true. But I wouldn't know how to proceed if I hadn't known the answer beforehand. I need to find both x and y, is there a linear equation I'm missing to find the exact coordinates of the last vertex? Is my process okay or is there a simpler way to do it?

Step-by-step explanation:

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