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Find the vertex, the equation and axis of symmetry, and the y-intercept of the graph of y=x^2+4x+6

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Answer:

y-int.=6; vertex equation: y= (x - 2)² + 10; vertex: (2, 10); axis of symmetry: x = 2

Explanation:

The c value can be used as the y-int.: y=6

vertex form: a(x-h)²+ k

vertex form of this equation:

use completing the square method

y=x²+4x+6

take b, it, divide it in half, then square it (b/2)². b/2 is your h value. Add (b/2)² to c to get your k value

y= x²+4x + 2² + 6

y= (x - 2)² + 4 + 6

vertex equation:

y= (x - 2)² + 10

vertex: (2, 10)

axis of symmetry:

use the h value: x = 2

User Gbellmann
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