pettiets pettiets
  • 12-08-2020
  • Mathematics
contestada

What is the equation of the parabola that has its vertex at (8,-1) and a y-intercept of (0,-17)?

Respuesta :

Elmochip Elmochip
  • 18-08-2020

y = a(x  + 1.5)^2 - 12.5

y intercept is (0,-8) so:-

-8 = a(0+1.5)^2 - 12.5

-8 = 2.25a - 12.5

a =  4.5/ 2.25 = 2

so we have  

y  = 2 ( x +1.5)^2 - 12.5

solving for x  when y = 0:-

(x + 1.5)^2 = 12.5/2 = 6.25

taking sqrt's  x + 1.5  = +/- 2.5

x =  -4,   1

so the x intercepts are (-4,0) and (1,0)

Answer Link
rosly7 rosly7
  • 08-01-2021

Answer:

y = –1∕4(x – 8)^2 – 1

Step-by-step explanation:

I took the exam and  got  it  right.

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