The graph of which function has an axis of symmetry at x = 3? Picture A, B, C, or D?




Answer:
The last graph f(x)=x^2-6x-1
Step-by-step explanation:
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
The graph shown in picture D with equation f(x) = x²-6x-1 , has axis of symmetry at x = 3.
4 graphs are given in order to identify which of them contains axis of symmetry at x = 3
The axis of symmetry is the center axis of the curves where the curve is equally divided.
For Picture A
The axis of symmetry is x = 1.5 so it is not the correct option.
For picture B
The axis of symmetry is x = 1.3 so it is not the correct option.
For picture C
The axis of symmetry is x = -3. So it is not correct option
For picture D
The axis of symmetry is x = 3. it is the correct option.
The graph shown in picture D with equation f(x) = x²-6x-1 , has axis of symmetry at x = 3.
Learn more about the axis of symmetry here:
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