poundcopy poundcopy
  • 01-07-2017
  • Mathematics
contestada

Write the equation of the quadratic function with roots -1 and -7 and a vertex at (-4, 7)

Respuesta :

mreijepatmat
mreijepatmat mreijepatmat
  • 02-07-2017
The equation of (y-k)=a(x-h)² , where (h , k) are the coordinates of the vertex, which is given Vertex(-4,7) →y-7 = a(x+4)². To find the equation we have to calculate the coefficient a.  The roots are given x = -1 and x = -7. For
x= -1 or x=-7, y=0. Chose any of the roots and plug it in the equation:
y-7 = a(x+4)²
0-7 = a(-1+4)²→ - 7 = 9a and a = -7/9 (you will have same a if you choose x=-7.
Now the equation is y-7 = -7/9(x+4)² and after expanding:
y= (1/9)(-7x²-56x-49)
Answer Link

Otras preguntas

Explain how the balance of power shifted in Europe after the dissolution of the Soviet Union and the international concerns that resulted.Use at least two of th
A 9-kilogram bag of cement costs $12.22. What is the unit price, rounded to the nearest cent
HELP!!!! FAST!!! Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis?
Evaluate 13 - 0.75w + 8x when w = 12 and x = 1/2
what would the answer to this question be? show work please
Please help me with all of it
If your boss asks you to do something you know goes against company ethic policies and your set of morals, you should go ahead and do it because he/she is your
______receive blood from the capillaries after gas exchange takes place. A. Veins B. Arteries C. Capillaries D. Alveoli
What do all ions have in common in terms of their electrical structure?????
what is the unit for work