In the function y=1/2x^2 , what effect does the number 1/2 have on the graph, as compared to the graph of the function y=x^2 ?

a. it shrinks the graph vertically to 1/2 its original height.
b. it stretches the graph vertically by a factor of 2.
c. it stretches the graph horizontally by a factor of 2.
d. it shrinks the graph horizontally to 1/2 its original width.
in the function y=1/2x^2 , what effect does the number 1/2 have on the graph, as compared to the graph of the function y=x^2 ?

a. it shrinks the graph vertically to 1/2 its original height.
b. it stretches the graph vertically by a factor of 2.
c. it stretches the graph horizontally by a factor of 2.
d. it shrinks the graph horizontally to 1/2 its original width.

D isn't the correct answer. It's "It shrinks the graph vertically to 1/2 its original height."

Step-by-step explanation:

I'm not sure why though this is right because I graphed it, and I don't see how that could be the right answer.

Option A - It shrinks the graph vertically to 1/2 its original height.

Step-by-step explanation:

Given : In the function

To find : What effect does the number have on the graph, as compared to the graph of the function ?

Solution :

The parent function is

We have given that   number is multiply to the parent function.

When the unit is multiply to the function gives you vertical stretch or compression

i.e, f(x)→ bf(x), o<b<1 then the function is vertically compressed.

As   means there is vertical compression or shrinks.

Therefore, Option A is correct.

It shrinks the graph vertically to 1/2 its original height.

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

p = 6s

step-by-step explanation: