JAMB 1994 · UME · Q13

The equation of the graph shown is

3xy(0, −27)(3, 0)
The vertical scale is compressed.
Worked solution (try it first)
  1. The curve touches the xx-axis at (3,0)(3, 0) and flattens out there, so (x−3)(x - 3) is a repeated factor, three times over for a cubic.
  2. That suggests y=(x−3)3y = (x - 3)^3.
  3. Check the yy-intercept: at x=0x = 0, y=(−3)3=−27y = (-3)^3 = -27, which matches the graph.
  4. So the equation is y=(x−3)3y = (x - 3)^3, option A.

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