# A quadratic has an axis of symmetry of x=m, and the quadratic hax an x-intercept at (m,0). The quadratic has a vertical compression as a approaches infinty y approaches negative infiniy. What is a possible equation of the quadratic?

A quadratic has an axis of symmetry of x=m, and the quadratic hax an x-intercept at (m,0). The quadratic has a vertical compression as a approaches infinty y approaches negative infiniy. What is a possible equation of the quadratic?
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sweererlirumeX
The quadratic has an x-intercept at (w,0).
Its axis of symmetry is x=w,so it can be taken as $y=k{\left(x-w\right)}^{2}$ where k is constant.
From given information the quadratic has a vertical stretch and as x approaches $\mathrm{\infty }$ and y approaches $-\mathrm{\infty }$ so must have,k<0
So let us take k=−2.
Hence the possible equation of the quadratic becomes,$y=-2{\left(x-w\right)}^{2}$