How is the graph of y = 3(x+ 1)^2 related to its parent function, ? it is translated 1 unit right and compressed vertically by a factor of 3. it is translated 1 unit left and compressed vertically by a factor of 3. it is translated 1 unit right and stretched vertically by a factor of 3. it is translated 1 unit left and stretched vertically by a factor of 3.

"It is translated 1 unit left and stretched vertically by a factor of 3"

Step-by-step explanation:

The parent function here is y = x^2

Let's give out some general rules of transformation:

If y = f(x) is a parent function, then

1. If we have y = a * f(x)

| a | > 1 is a stretch;  

0 < | a | <1 is a compression, vertically for both

and

2. If we have y = f(x-c), this means horizontal translation to right c units and y = f(x+c) means horizontal translation c units left

Looking at y = 3(x+1)^2, we can say that "it is vertical stretch by a factor 3 and horizontal translation 1 units left"

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.