Cubic Functions

[MathsHelp12]

Find the dilation factor and coordinates of stationary point of inflection

the question : y=(x-9)^3+4

i got the dilation factor right and it was (9,4) but couldnt get stationary point. The answer for stationary point was 1 but couldnt figure it out how

 

[Ishuda]

Find the dilation factor and coordinates of stationary point of inflection

the question : y=(x-9)^3+4

i got the dilation factor right and it was (9,4) but couldnt get stationary point. The answer for stationary point was 1 but couldnt figure it out how

It appears you have your terms confused as compared to the meaning I understand them to be or maybe it's me who is confused. What is the definition of stationary point and dilation factor you were given?

A stationary point of a function, as I understand it, is the (x,y) value where the derivative of the function is zero or, equivalently, the place where the slope of the graph is zero. For the given cubic
y = (x-9)² + 4
that point is (9,4).

Generally a dilation factor is, as I understand it, a factor by which a figure is stretched or shrank.

 

[Deleted member 4993]

It appears you have your terms confused as compared to the meaning I understand them to be or maybe it's me who is confused. What is the definition of stationary point and dilation factor you were given?

A stationary point of a function, as I understand it, is the (x,y) value where the derivative of the function is zero or, equivalently, the place where the slope of the graph is zero. Correct .... http://mathworld.wolfram.com/StationaryPoint.html

For the given cubic
y = (x-9)² + 4
that point is (9,4).

Generally a dilation factor is, as I understand it, a factor by which a figure is stretched or shrank.

.