Question

For the parent function y /- positive x, what effect does a value of b = -2 have on the graph?

Answer 1

Technically, it's \[y = \sqrt{x}\]

Answer 2

Possible answers are...

A: Horizontal compression by a factor of 1/2 and a reflection across the y-axis.
B: Horizontal compression by a factor of 1/2 and a reflection across the x-axis.
C: Horizontal compression by a factor of -1/2 and a reflection across the y-axis.
D: Horizontal compression by a factor of -1/2 and a reflection across the x-axis.

Answer 3

\[y = a\sqrt{\color{blue}{b}(x-h)}+k\]

is that the \(\color{blue}{b}\) you talking about ?

Answer 4

I think that's how it's supposed to go, radicals aren't exactly something I'm good at working with.

Answer 5

then \(b=-2\) copresses the parent graph horizontally by a factor of 1/2, then reflects across y axis

Answer 6

So what you mean is that it ends up going across the graph?

Answer 7

look at ur options

Answer 8

So you're saying B?

Answer 9

A

Answer 10

Oh. Yeah, you're right. I had to retake a look at it. Thank you!

Answer 11

yw
it makes more sense if you graph \(y=\sqrt{x}\) and \(y = \sqrt{-2x}\) and see how they differ