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What is y= (x+2) ^2 vertex, axis of symmetry, direction of opening, max or min and y intercept

User Gatlingxyz
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1 Answer

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Answer:

Vertex: (-2, 0)

Axis of symmetry: x = -2

Direction of opening: Upwards

Min: 0

Y-intercept: 4

Explanation:

Let us graph this line, and then pull out the details we need. See attached.

What do all of these different things mean?

Vertex: This is where the graph intercepts the axis of symmetry (x = -2, see below) and is at point (-2, 0) for this graph.

Axis of Symmetry: This is the line that the graph is symmetrical across. The "center" of the graph. Here, it is x = -2.

Direction of Opening: The direction that the graph is going/opening towards. In this case, it is upwards.

Min: The minimum (in this case) value, the lowest y-coordinate. This is 0 here.

Y-intercept: The point at which the line intercepts the y-axis. This is 4 here.

What is y= (x+2) ^2 vertex, axis of symmetry, direction of opening, max or min and-example-1
User IonicSolutions
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