Math  /  Geometry

QuestionSketch the graph of the function f(x)=(x4)29f(x)=(x-4)^{2}-9. Find the axis of symmetry, domain, and range.

Studdy Solution
The range of a quadratic function depends on the direction of the parabola. In this case, the parabola opens upwards, so the minimum y-value is the y-coordinate of the vertex, and the maximum y-value is infinity. So, the range of this function is y9y \geq -9.
The graph, domain, and range of the function f(x)=(x4)29f(x)=(x-4)^{2}-9 are as described above.

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