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

The question is in image!!!!!! plz answer you’ll get 95 points!!-example-1
User Eunice
by
8.4k points

2 Answers

3 votes

Answer:a

Explanation:

Did it

User Princess Of Persia
by
8.5k points
2 votes

Answer:

  • Option A is correct

Explanation:

Given functions f(x) and g(x). f(x) is:

  • f(x) = x^2 + 4x + 6

Converted into vertex form, it is:

  • f(x) = (x + 2)^2 + 2

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

  • 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

User Rasta
by
8.9k points

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