Answer:

Step-by-step explanation:
Given:
Focus point = (-5, -4)
Vertex point = (-5, -3)
We need to find the equation for the parabola.
Solution:
Since the x-coordinates of the vertex and focus are the same,
so this is a regular vertical parabola, where the x part is squared. Since the vertex is above the focus, this is a right-side down parabola and p is negative.
The vertex of this parabola is at (h, k) and the focus is at (h, k + p). So, directrix is y = k - p.
Substitute y = -4 and k = -3.



So the standard form of the parabola is written as.

Substitute vertex (h, k) = (-5, -3) and p = -1 in the above standard form of the parabola.
So the standard form of the parabola is written as.


Therefore, equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)

 
        
             
        
        
        
<em>Hi ^^</em>
<u>Note: This answer is already on brainly, but to save up your time here is the answer (the owner of the answer is listed below).</u>
<em>Owner:  timothycarney2004</em>
<em>Rank: Ambitious</em>
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<u>Answer:</u><em> There are </em><u>two </u><em>real roots
</em>
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</em><u>Step-by-step explanation:</u><em> Terms in this set (6) If the discriminant of a quadratic equation is 4, which statement describes the roots? B. There are two real roots.</em>
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Anyways bye! <3
 
        
             
        
        
        
*Hint: Before you try to factor anything, you try to see if they have a common factor. 
Since -3 is a common factor, everything is divided by -3.
-6x^4y^5 - 15x^3y^2 + 9x^2y^3
-3(2x^4y^5 + 5x^3y^2 - 3x^2y^3)
Since you can still divide by x^2y^2, you do so. 
-3x^2y^2 (2x^2y^3 + 5x - 3y)
        
             
        
        
        
The correct answer is true, hope this helps!