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What is the axis of symmetry? What are the coordinates of the vertex?
y=x² +4x-11

What is the axis of symmetry? What are the coordinates of the vertex? y=x² +4x-11-example-1
User Niel
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1 Answer

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Answer:

Explanation:

The axis of symmetry of a parabolic function of the form y = ax^2 + bx + c is a vertical line that divides the graph of the function into two mirror images. The axis of symmetry of the function y = x^2 + 4x - 11 is the vertical line x = -2.

The vertex of a parabolic function is the highest or lowest point on the graph, depending on the direction of the parabola. The coordinates of the vertex can be found by completing the square.

To find the coordinates of the vertex of the function y = x^2 + 4x - 11, we can rewrite the function as follows:

y = (x^2 + 4x) - 11

= x^2 + 4x + (-11)

= (x^2 + 4x + 4) + (-11 + 4)

= (x + 2)^2 - 7

User Sarvesh Bhatnagar
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