Question

The graph of y=x^2 is vertically compressed by a factor of 1/3. The equation for this new graph is

Answer 1

Answer

$y=\frac{1}{3} x^{2}$

Step-by-step explanation:

multiplied by 1/3

Answer 2

Answer:

$\\\tt \: y = \dfrac{1}{3} {x}^{2}$

Step-by-step explanation:

Lets take a point the graph passes through (1,1), when this graph is "verically" compressed there will be change in only x coordinte.

Now if you compress is by 1/3 the value of y must decrease to 1/3 of the original value which means, (1,1) will translate to (1/3,1).

Using this the new equation will be:

$\\\tt \: y = \dfrac{1}{3} {x}^{2}$

Consider the attachment:

(color beside equation denotes color of equation's graph)

Since we're talking about "Verical compression and not "horizontal" the values along y must remain constant for changing values of x.

The third equation makes sense (compression will bring the 1st graphs bulge down).