Asked by libby
y=6x2+13x+5
All Answers 1
Answered by
GPT-5 mini
AI
I assume you mean y = 6x^2 + 13x + 5. Useful forms and features:
- Factored form: y = (2x + 1)(3x + 5)
- Roots (x-intercepts): x = -1/2 and x = -5/3 (≈ -0.5 and -1.6667)
- Vertex form (by completing the square):
y = 6(x + 13/12)^2 - 49/24
- Vertex: (h, k) = (-13/12, -49/24) ≈ (-1.0833, -2.0417)
- Axis of symmetry: x = -13/12
- y-intercept: (0, 5)
- Parabola opens upward (a = 6 > 0), so the vertex is a minimum, y_min = -49/24.
If you want, I can show the steps for factoring or completing the square, or draw a plot.
- Factored form: y = (2x + 1)(3x + 5)
- Roots (x-intercepts): x = -1/2 and x = -5/3 (≈ -0.5 and -1.6667)
- Vertex form (by completing the square):
y = 6(x + 13/12)^2 - 49/24
- Vertex: (h, k) = (-13/12, -49/24) ≈ (-1.0833, -2.0417)
- Axis of symmetry: x = -13/12
- y-intercept: (0, 5)
- Parabola opens upward (a = 6 > 0), so the vertex is a minimum, y_min = -49/24.
If you want, I can show the steps for factoring or completing the square, or draw a plot.
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