Question

Plz Help!
What is the effect on the graph of the function f(x) = x when f(x) is replaced with −1/2f(x)?
A) vertical reflection over x-axis and vertical stretch
B) vertical reflection over x-axis and vertical compression
C) horizontal reflection over y-axis and horizontal stretch
D) horizontal reflection over y-axis and horizontal compression

Answer 1

Answer:

It would be C

Step-by-step explanation:

Answer 2

Answer with explanation:

The given function is,

f(x)=x

We can Write it as,replacing f(x) by y

→y=x ------------------(1)

When , f(x) is replaced by $\frac{-f(x)}{2}$ in the above equation, the above equation reduces to

$\frac{-f(x)}{2}=x\\\\ f(x)= -2 x$

Similarly, Replacing f(x) by y in this equation also,the equation becomes

→→ y = - 2 x ---------------(2)

Plotting the graph of , Line 1 and Line 2

Now, when line 1 is reflected either through , x axis or y axis, the equation of line 1 becomes

→→y= -x

As,→ if there would have been vertical stretch, distance between origin and points on the curve would have been Larger.

But , →why compression because distance between axis of reflection and curve which has been compressed, that is , y=-2 x, has reduced.

Option D: Horizontal reflection over y-axis and horizontal compression