The graph of f(x) = x2 is shifted 3 units down to obtain the graph of g(x). which of the following equations best describes g(x)?

g(x) = (x + 3)2
g(x) = x2 − 3
g(x) = x2 + 3
g(x) = (x − 3)2

x^2-3[/tex] this is the equation for g(x)

Step-by-step explanation:

Consider the graph:

As, we know that moving the function down, you subtract outside the function i.e, f(x)-c ;  f(x) moved down c units.

Now, shift the graph f(x) 3 units down to obtain g(x) is,

g(x)=f(x)-3

Therefore, the equation which best describe for g(x) is ;

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .