text: # Thread: Need some help with part A
  
  1. ## Need some help with part A
  
  2. Let P=(x, y) be a point on the graph of y = x^2 - 8.
  a) Express the distance of d from P to the point (0, -1) as a function of x.
  b) What is d if x = 0?
  c) What is d if x = -1?
  d) Use a graphing utility to graph d = d (x).
  e) For what values of x is d smallest?
  
  a) d(x) = √x^4-13x^2+49
  b) d(0)=7
  c) d(-1)= √37 ... is similar to ... 6.08
  d) Graph d(x) = √x^4-13x^2+49
  e) D is the smallest when x ... is similar to ... -2.55 or x ... is similar to ... 2.55
  
  I can do all of them but part “A” can someone help me figure out how to find out part A?
  
  and how do you do a "... is similar to ..." sign on here?
  
  2. Originally Posted by Robthebear
  2. Let P=(x, y) be a point on the graph of y = x^2 - 8.
  a) Express the distance of d from P to the point (0, -1) as a function of x.
  [...]
  I can do all of them but part “A” can someone help me figure out how to find out part A?
  
  and how do you do a "... is similar to ..." sign on here?
  $\sim$ or $\approx$ or simply ~.
  
  As to part a: The distance between points with coordinates (a,b) and (c,d) is
  $\sqrt{(a-c)^2 + (b-d)^2}$.
  Now in this case, $a = x, b = y = x^2-8, \, c = 0,\, d = -1$.
  Insert these expressions in the distance formula and you are done.
  
  3. Thank you for the help.
  Robert
explanation: The document is a forum thread where a user named Robthebear is seeking help with a math problem. The problem involves a point P on the graph of \( y = x^2 - 8 \) and asks for the distance \( d \) from P to the point (0, -1) as a function of \( x \). The user has provided their answers for parts b, c, d, and e but is struggling with part a. Another user provides the formula for the distance between two points and explains how to apply it to solve part a. The user also asks how to type the "is similar to" symbol, which is provided in the response.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Thread: Need some help with part A
  
  1. ## Need some help with part A
  
  2. Let P=(x, y) be a point on the graph of y = x^2 - 8.
  a) Express the distance of d from P to the point (0, -1) as a function of x.
  b) What is d if x = 0?
  c) What is d if x = -1?
  d) Use a graphing utility to graph d = d (x).
  e) For what values of x is d smallest?
  
  a) d(x) = √x^4-13x^2+49
  b) d(0)=7
  c) d(-1)= √37 ... is similar to ... 6.08
  d) Graph d(x) = √x^4-13x^2+49
  e) D is the smallest when x ... is similar to ... -2.55 or x ... is similar to ... 2.55
  
  I can do all of them but part “A” can someone help me figure out how to find out part A?
  
  and how do you do a "... is similar to ..." sign on here?
  
  2. Originally Posted by Robthebear
  2. Let P=(x, y) be a point on the graph of y = x^2 - 8.
  a) Express the distance of d from P to the point (0, -1) as a function of x.
  [...]
  I can do all of them but part “A” can someone help me figure out how to find out part A?
  
  and how do you do a "... is similar to ..." sign on here?
  $\sim$ or $\approx$ or simply ~.
  
  As to part a: The distance between points with coordinates (a,b) and (c,d) is
  $\sqrt{(a-c)^2 + (b-d)^2}$.
  Now in this case, $a = x, b = y = x^2-8, \, c = 0,\, d = -1$.
  Insert these expressions in the distance formula and you are done.
  
  3. Thank you for the help.
  Robert
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a forum thread where a user named Robthebear is seeking help with a math problem. The problem involves a point P on the graph of \( y = x^2 - 8 \) and asks for the distance \( d \) from P to the point (0, -1) as a function of \( x \). The user has provided their answers for parts b, c, d, and e but is struggling with part a. Another user provides the formula for the distance between two points and explains how to apply it to solve part a. The user also asks how to type the "is similar to" symbol, which is provided in the response.
  
  Label: question-and-answer