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Sketch `y=-(x+2)(x-1)^2` on the graph below, clearly showing all intercepts. (3 marks)
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`xtext{-axis intercepts at}\ \ x=-2 and 1\ text{(touches only)}`
`ytext{-intercept when}\ \ x=0\ \ =>\ \ y=-2xx(-1)^2=-2`
Sketch `y=(x+2)^2(2x-1)` on the graph below, clearly showing all intercepts . (3 marks)
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`xtext{-axis intercepts at}\ \ x=-2\ text{(touches only) and}\ 1/2`
`ytext{-intercept when}\ x=0\ \ =>\ \ y=2^2(-1)=-4`
Sketch `y=(x+1)^2(x-3)` on the graph below, clearly showing all intercepts . (3 marks)
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`xtext{-axis intercepts at}\ \ x=-1\ text{(touches only) and}\ 3`
`ytext{-intercept when}\ x=0\ \ =>\ \ y=1^2(-3)=-3`
Sketch `y=x(x-2)(x+3)` on the graph below, clearly showing all intercepts . (3 marks)
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`xtext{-axis intercepts at}\ \ x=-3, 0 and 2`
`ytext{-intercept at}\ (0,0)`
`text{At}\ \ x=1\ \ =>\ \ y=-4`
Sketch `y=(x+1)(x+2)(x-1)` on the graph below, clearly showing all intercepts . (3 marks)
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`xtext{-axis intercepts at}\ \ x=-2, -1 and 1`
`ytext{-intercept when}\ \ x=0\ \ =>\ \ y=1xx2xx-1=-2`
The graph of `y = f(x)` is shown.
Which of the following could be the equation of this graph?