Write an equation for a function that has the shape of y=x2 but shifted up 2 units and right 3 units

im not entirely sure but maybe y=2x+4

because

y=x2

up 2 units so

y+2=x2

right 3 units so

y+2=(x+3)2

simplify

y+2=2x+6

y=2x+4

step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.