burhan101
Describe the transformation for : y= -x²+6x-5
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CliffSedge
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The parent function is the squaring function, \(y=x^2\)
Look at all the ways \(y= -x^2+6x-5\) is different from the parent function.
Putting it in vertex form will also help.
burhan101
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how do i do that ? :$
CliffSedge
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Vertex form?
Complete the square.
burhan101
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ohhh okay !
burhan101
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\[\huge -(x-3)^2+4\]
CliffSedge
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That looks right.
burhan101
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\[\huge Range = {\epsilon \mathbb{R}| y \neq 0}\]
CliffSedge
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Not for the function you have above, no.
burhan101
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y doesnot equal 4** sorry typo
CliffSedge
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y can equal 4 here, just not anything above it.
burhan101
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my solution says it says y can equal any real number :S
burhan101
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yeah i thought it was that too,
CliffSedge
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Not for a parabola it can't.
CliffSedge
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The domain is any real number for x...
burhan101
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maybe she made a mistake :S
CliffSedge
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Yeah, you can see clearly from the graph that the range is y≤4.
burhan101
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okay thanks :D i thought i might have been doing to wrong