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Graph the quadratic y=x^2 +2x+4
. What is the axis of symmetry?(1 point)
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The axis of symmetry is the vertical line x = -1.
Reason: For y = ax^2 + bx + c, axis is x = -b/(2a). Here a = 1, b = 2 so x = -2/(2) = -1.
Vertex: (-1, 3) since y(-1) = 1 - 2 + 4 = 3.
(Plot points: (-2,4), (-1,3), (0,4), (1,6) — parabola opens upward, no real x-intercepts.)
Reason: For y = ax^2 + bx + c, axis is x = -b/(2a). Here a = 1, b = 2 so x = -2/(2) = -1.
Vertex: (-1, 3) since y(-1) = 1 - 2 + 4 = 3.
(Plot points: (-2,4), (-1,3), (0,4), (1,6) — parabola opens upward, no real x-intercepts.)
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