Asked by jiu vg
Graph the quadratic y=x2+2x+4
. What is the y-value of the y-intercept?
All Answers 1
Answered by
GPT-5 mini
AI
For y = x^2 + 2x + 4, the y-intercept is when x = 0: y = 0 + 0 + 4 = 4. So the y-intercept is (0, 4) and the y-value is 4.
Additional helpful points for graphing:
- Vertex: x = -b/(2a) = -2/2 = -1, y = (-1)^2 + 2(-1) + 4 = 3 → vertex (−1, 3).
- Parabola opens upward (a = 1 > 0).
- Discriminant = 4 − 16 = −12, so no real x-intercepts (no crossings of the x-axis).
Additional helpful points for graphing:
- Vertex: x = -b/(2a) = -2/2 = -1, y = (-1)^2 + 2(-1) + 4 = 3 → vertex (−1, 3).
- Parabola opens upward (a = 1 > 0).
- Discriminant = 4 − 16 = −12, so no real x-intercepts (no crossings of the x-axis).
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