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LuluMathLover101
17.10.2019 •
Mathematics
The function h(x) = x2 + 6x + 7 represents a parabola.
part a: rewrite the function in vertex form by completing the square. show your work. (6 points)
part b: determine the vertex and indicate whether it is a maximum or a minimum on the graph. how do you know? (2 points)
part c: determine the axis of symmetry for h(x). (2 points)
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Ответ:
Part A.
The given equation is:
y = x^2 + 6x + 7
By completing the square:
y = (x^2 + 6x + 9) + 7 – 9
y = (x + 3)^2 – 2
y + 2 = (x + 3)^2
Part B.
The vertex form of a parabola is in the form:
y – k = 4p (x – h)^2
Where (h, k) is the vertex (x, y) of the parabola.
Therefore the vertex: (-3, -2)
Since 4p = 1, a positive number, therefore the parabola opens up which makes the vertex (-3, -2) the minima of the graph.
Part C.
The Axis of Symmetry is the x - coordinate of the vertex which is x = - 3
Ответ:
if ur trynna find x the answer to x=-1.3333 or maybe its 1.5
Step-by-step explanation:
i think that might be the answer sorry if im wrong its been awhile since I had to do those algebraic math questions.