The quadratic function: [tex]y=-x^2-8x+1[/tex] has an axis of symmetry of [tex]x=-4[/tex]. Which of the following represents the range of the function?
1) [17, ♾️)
2) (-♾️,17]
3) (-♾️,-4]
4) [-4,♾️)

The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.

The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.

y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17

The range of the function is (-∞, 17].

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The quadratic function: [tex]y=-x^2-8x+1[/tex] has an axis of symmetry of [tex]x=-4[/tex]. Which of the following represents the range of the function? 1) [17, ♾️) 2) (-♾️,17] 3) (-♾️,-4] 4) [-4,♾️)

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The quadratic function: [tex]y=-x^2-8x+1[/tex] has an axis of symmetry of [tex]x=-4[/tex]. Which of the following represents the range of the function?
1) [17, ♾️)
2) (-♾️,17]
3) (-♾️,-4]
4) [-4,♾️)