Describe the translation of the graph of y = x2 that results in the graph of y = (x - 3)2.
left 3 units
right 3 units
down 3 units
up 3 units

Shift right by 3 units.

Second option is correct.

Step-by-step explanation:

The parent function is given by

The translated function is

The transformation rule is:

When we subtract some constant "c" to the x values of the function f(x) then the graph will shift right by "c" units. And the transformation function would be f(x-c).

Now, here 3 is subtracted in the x value of the parent function   to get the function

Therefore, the graph of the transformation function would shift right by 3 units.

We can see it in the attached graph as well. The vertex of the parabola is at (0,0) and the vertex of the parabola   is at (3,0).

It means that graph has shifted 3 units to the right.

Second option is correct.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

2x^2+5x+17

your welcome. : )