We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
28
2
avatar

How many y-intercepts does the graph of the parabola x = y^2 - 4y - 1 have?

 Oct 9, 2019
 #1
avatar+1533 
+1

2 y-intercepts

 

https://www.desmos.com/calculator/buaqjswt7y

 

This is because the equation forms an ellipse, and is in the ellipse form.

 
 Oct 9, 2019
 #2
avatar+103858 
+2

You're close, CU......this actually is a parabola that opens to the right

 

We can find the y intercepts by setting  x  = 0  and solving

 

y^2 - 4y  - 1   = 0

 

y^2 - 4y  =   1        complete the square on y

 

y^2 - 4y + 4  =   1 + 4

 

(y - 2)^2  =  5      take both roots

 

y - 2 = ±√5

 

y  =  2 ±√5

 

So.....there are two y intercepts  as shown by CU's  graph....!!!!

 

 

cool cool cool

 
 Oct 9, 2019

5 Online Users

avatar