Question

-2sin(x/2) write in a asinb(x-h) form

Answer 1

So I guess you're writing it in that form so you can identify the pieces, yes?

\[\large -2\sin\left(\frac{x}{2}\right) \qquad = \qquad \color{orangered}{-2}\sin\left(\color{royalblue}{\frac{1}{2}}x\right)\]

\[\large \color{orangered}{a}\sin\left(\color{royalblue}{b}x\right)\]

Can you identify the \(\large a\) and \(\large b\) and \(\large h\) ? :)

Answer 2

no

Answer 3

can you please help me/thank you!!

Answer 4

I rewrote \(\large \dfrac{x}{2}\) as \(\large \dfrac{1}{2}x\).

They reason we're allowed to do this is because there is always an invisible 1 on top.
\[\large \frac{x}{2} \qquad = \qquad \frac{1\cdot x}{2} \qquad = \qquad \frac{1}{2}x\]

Are you confused about the a and b...?
I color-coded them. I thought that would have made it easier to identify them.

Answer 5

what i mean how to find the value of h?

Answer 6

please help me

Answer 7

\[\large \color{orangered}{-2}\sin\left(\color{royalblue}{\frac{1}{2}}x\right) \qquad =\qquad \color{orangered}{-2}\sin\left[\color{royalblue}{\frac{1}{2}}(x+0)\right]\]

Answer 8

Ok now it's in the form that they want.
What is your h value?

Answer 9

0?

Answer 10

yesssss

Answer 11

thank you