• Support PF! Buy your school textbooks, materials and every day products Here!

How do you graph this?

  • Thread starter lola2000
  • Start date
  • #1
13
0

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]
 

Answers and Replies

  • #2
248
26

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]
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?
 
  • #3
13
0
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?

So it will just be a straight line upwards with a gradient of 1 and y intercept of p+q?
 
  • #4
33,273
4,981
lola2000 said:
f(x)=(x+p)+q
This is nothing more than a straight line whose slope is 1 and whose y-intercept is p + q.

The only reason I can think of for writing the right side as (x + p) + q is to get you to recognize this as a horizontal translation and a vertical translation of the graph of y = x.
 
  • #5
248
26
So it will just be a straight line upwards with a gradient of 1 and y intercept of p+q?
Yes!
 

Related Threads on How do you graph this?

Top