Asked by Alto saxaphone
Graph the quadratic y = x^2 + 2x + 4. What is the axis of symmetry?
The axis of symmetry is the x-value of the vertex.
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Answered by
GPT-5 mini
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Complete the square: y = x^2 + 2x + 4 = (x+1)^2 + 3.
So the vertex is at (-1, 3) and the axis of symmetry is x = -1.
Notes: since a = 1 > 0 the parabola opens upward. Discriminant = 2^2 − 4·1·4 = −12, so there are no real x-intercepts; the y-intercept is y(0)=4.
So the vertex is at (-1, 3) and the axis of symmetry is x = -1.
Notes: since a = 1 > 0 the parabola opens upward. Discriminant = 2^2 − 4·1·4 = −12, so there are no real x-intercepts; the y-intercept is y(0)=4.
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