f(x)=−3x2+12x−11 Step 1 of 2 : Find all values of x that correspond to horizontal tangent lines. Select "None" if the function does not have any values of x that correspond to horizontal tangent lines.

corresponds to a horizontal line tangent to .

Step-by-step explanation:

Let , its first derivative represents a formula to determine the slope of lines tangent to a given point of the curve and slopes of horizontal tangent line corresponds to those values of such that .

We obtain the first derivative and equalize it to zero:

And solve it for :

corresponds to a horizontal line tangent to .

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.

entering that problem on the tube might get you an answer