The discussion centers around graphing the linear function f(x) = (x + p) + q, with participants exploring its characteristics and transformations. The subject area involves linear functions and their graphical representations.
The discussion includes various interpretations of the function's graph, with some participants suggesting it represents a straight line with a slope of 1 and a y-intercept of p + q. There is acknowledgment of the function's transformations, though no consensus is reached on all aspects.
Participants are working with the assumption that p and q are constants, and there is a focus on understanding the implications of rewriting the function in different forms. The exploration of horizontal and vertical translations is also noted.
f(x) = (x + p) + q can also be written as f(x) = x + (p + q)lola2000 said:Homework Statement
I am not sure how to graph the function
f(x)=(x+p)+q
Homework Equations
The Attempt at a Solution
When x=0 y=p+q
if y=0 x=-q-p ?
what shape would this give??[/B]
siddharth23 said:f(x) = (x + p) + q can also be written as f(x) = x + (p + q)
No as p and q are both constants, let:
p + q = c
Sp, we get f(x) = x + c
This is similar to the equation y = mx + c. What does this equation stand for?
This is nothing more than a straight line whose slope is 1 and whose y-intercept is p + q.lola2000 said:f(x)=(x+p)+q
Yes!lola2000 said:So it will just be a straight line upwards with a gradient of 1 and y intercept of p+q?