## burhan101 3 years ago Describe the transformation for : y= -x²+6x-5

1. CliffSedge

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.

2. burhan101

how do i do that ? :\$

3. CliffSedge

Vertex form? Complete the square.

4. burhan101

ohhh okay !

5. burhan101

$\huge -(x-3)^2+4$

6. CliffSedge

That looks right.

7. burhan101

$\huge Range = {\epsilon \mathbb{R}| y \neq 0}$

8. CliffSedge

Not for the function you have above, no.

9. burhan101

y doesnot equal 4** sorry typo

10. CliffSedge

y can equal 4 here, just not anything above it.

11. burhan101

my solution says it says y can equal any real number :S

12. burhan101

yeah i thought it was that too,

13. CliffSedge

Not for a parabola it can't.

14. CliffSedge

The domain is any real number for x...

15. burhan101

yeah that's what i thought, look at number 8 http://mail.wecdsb.on.ca/~janet_maitland/FOV1-0006CFBC/FOV1-0006E9C7/unit%20three%20practice%20answers.pdf?Plugin=Loft

16. burhan101

maybe she made a mistake :S

17. CliffSedge

Yeah, you can see clearly from the graph that the range is y≤4.

18. burhan101

okay thanks :D i thought i might have been doing to wrong