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
41
3
avatar

2 Questions:

Q1

Q2

 Nov 19, 2019
 #1
avatar+105370 
+1

Q1

 

Since the focus is to the right of the vertex, this parabola opens to the right

 

The form is

 

4a ( x - h)  = (y - k)^2

 

Where (h, k)    is the vertex  = (-5,2)    and "a"  is the distance from the vertex to the focus  = 4

 

So we have

 

4(4)(x + 5))  = (y - 2)^2        which we can write as

 

(y - 2)^2  = 16 ( x + 5)

 

Here's the graph : https://www.desmos.com/calculator/3ko051gwv7

 

 

cool cool cool

 Nov 19, 2019
 #2
avatar+105370 
+1

Q2

 

Rearrange as...

 

2x^2 - 12x  = 3y - 12      complete the square on  x

 

2 (x^2 - 6x + 9)  = 3y - 12 + 18

 

2 ( x - 3)^2  =  3y + 6        divide through by 2

 

2(x - 3)^2  = 3(y + 2)       divide through by 2           

 

(x - 3)^2  = (3/2)( y + 2)

 

Here's the graph :   https://www.desmos.com/calculator/bbqwqfbnc2

 

 

cool cool cool

 Nov 19, 2019
 #3
avatar
0

Much, much thanks!!!

Guest Nov 19, 2019

23 Online Users

avatar
avatar