Question

Describe the transformation for : y= -x²+6x-5

Answer 1

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.

Answer 2

how do i do that ? :$

Answer 3

Vertex form?

Complete the square.

Answer 4

ohhh okay !

Answer 5

\[\huge -(x-3)^2+4\]

Answer 6

That looks right.

Answer 7

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

Answer 8

Not for the function you have above, no.

Answer 9

y doesnot equal 4** sorry typo

Answer 10

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

Answer 11

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

Answer 12

yeah i thought it was that too,

Answer 13

Not for a parabola it can't.

Answer 14

The domain is any real number for x...

Answer 15

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

Answer 16

maybe she made a mistake :S

Answer 17

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

Answer 18

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