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Find the properties of each Quadratic Function

Find the properties of each Quadratic Function-example-1
User Kewanda
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Answer:

1.) up

2.) (-2,-5)

3.) x = -2

4.) (-2,-5)

5.) y = -5

6.) -∞ < x < ∞

7.) -5 < y < ∞

8.) (0,0)

9.) (0,0) and (-4,0)

10.) two solutions

Explanation:

1.) because the parabola opens upward and the vertex is down

2.) the lowest point of the parabola is (-2,-5)

3.) If a line was drawn through the point x = -2, the two halves of the parabola would look symmetrical ( the same on both sides).

4.) The minimum point on the graph is ( -2,-5), because that is the lowest point on this upward parabola, and we can not determine the maximum.

5.) The minimum value of y is y = -5, because that is the lowest value of y on this graph, and we can not determine the maximum.

6.) Because the arms of the parabola continue traveling through negative infinity and positive infinity on the x-axis, the domain is -∞ < x < ∞.

7.) The arms of the parabola go from y = -5 to infinity, so the range of the parabola is -5 < y < ∞.

8.) The parabola first crosses the y-axis at the point (0,0)

9.) The parabola first crosses the x-axis at the points (0,0) and (-4,0)

10,) The solution to the parabola is the variable x. The solutions (x intercepts) of the parabola are x = 0 and x = -4.

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User Kliew
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