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Skill Checklist
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On the axes below, sketch the graph of y=−x2−x+6, clearly indicating any axes intercepts as well as any maxima or minima.
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The equation x2+(k−5)x+5k=25 has two distinct real solutions.
Find the possible value(s) of k.
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The function f is defined by f(x)=2x2+2x−24, for x∈R.
For the graph of y=f(x):
Write down the y-intercept.
Find the x-intercepts.
Find the coordinates of the vertex.
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The following diagram shows part of the graph of g(x)=a(x−h)2+k.
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Write down the values of h and k.
The function g can also be expressed in the form g(x)=a(x−α)(x−β), where β>α.
Write down the values of α and β.
Find the value of a.
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