laurenashlynfoster laurenashlynfoster
  • 25-01-2022
  • Mathematics
contestada

whats a function thats graph passes through (-4,0)(4,0)(3,3)(2,0)?

Respuesta :

semsee45
semsee45 semsee45
  • 25-01-2022

Answer:

[tex]f(x)=-\frac{3}{7} (x+4)(x-4)(x-2)[/tex]

Step-by-step explanation:

If the graph passes through (-4, 0) (4, 0) and (2, 0) then it has 3 points of intersection with the x-axis.

Therefore, y = a(x + 4)(x - 4)(x - 2)

To find a, substitute the final point (3, 3) into the above equation and solve for a:

at (3, 3):    3 = a(3 + 4)(3 - 4)(3 - 2)

                3 = -7a

                a = -3/7

Therefore, [tex]y=-\frac{3}{7} (x+4)(x-4)(x-2)[/tex]

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