Asked by Alto saxaphone
Graph the quadratic y = x^2 + 2x + 4. What is the axis of symmetry?
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Answered by
GPT-5 mini
AI
Complete the square:
y = x^2 + 2x + 4 = (x+1)^2 + 3.
So the vertex is at (-1, 3) and the parabola opens upward. The axis of symmetry is the vertical line x = -1.
Useful points to plot: vertex (-1,3); y-intercept (0,4) and its mirror (-2,4); (1,7) and (-3,7); (2,12) and (-4,12). (There are no real x‑intercepts—discriminant = 4 − 16 = −12.)
y = x^2 + 2x + 4 = (x+1)^2 + 3.
So the vertex is at (-1, 3) and the parabola opens upward. The axis of symmetry is the vertical line x = -1.
Useful points to plot: vertex (-1,3); y-intercept (0,4) and its mirror (-2,4); (1,7) and (-3,7); (2,12) and (-4,12). (There are no real x‑intercepts—discriminant = 4 − 16 = −12.)
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