SOLUTION: find the x-intercepts of the parabola with vertex (-3,16) and y-intercept (0,-20). Write your answer in this form: (x1,y1),(x2,y2). If necessary, round to the nearest hundredth

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Question 1085857: find the x-intercepts of the parabola with vertex (-3,16) and y-intercept (0,-20). Write your answer in this form: (x1,y1),(x2,y2). If necessary, round to the nearest hundredth
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The general formula is:

The formula for the vertex is:

---------------------------
You are given 2 points:
( -3,16 )
( 0, -20 )
Plug these values into the general formula
(-3,16)


(0,-20)


------------
Now the equation is:

Al;so:

( given )



So, now I have:

also
( given )




and


so, the equation is:

----------------------------
Find the roots:








----------------
The other root is at:



The x-intercepts are:
( -5,0 ) and ( -1,0 )
-----------------------
Here's the plot:

check the math and get an other opinion if needed

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

find the x-intercepts of the parabola with vertex (-3,16) and y-intercept (0,-20). Write your answer in this form: (x1,y1),(x2,y2). If necessary, round to the nearest hundredth
 <===== Vertex form of a parabolic equation
 ------- Substituting (0, - 20) for (x, y) and (- 3, 16) for (h, k)
- 20 = 9a + 16
- 20 - 16 = 9a
- 36 = 9a


 <===== Vertex form of a parabolic equation
 ------- Substituting 0 for y,  - 4 for a, and (- 3, 16) for (h, k)






(x + 5)(x + 1) = 0
x = - 5		OR    		 x = - 1

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