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2 Questions:

Q1

Q2

 Nov 19, 2019
 #1
avatar+106515 
+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+106515 
+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
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Much, much thanks!!!

Guest Nov 19, 2019

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