What polynomial has a graph that passes through the given points? (–3, 76), (–1, 0), (0, 1), (1, –4), (2, –9) a. y=-x^3-4x^2-x+1 b. y=-x^4+x^3+4x^2+x-1 c. y=x^4-x^3-4x^2-x+1

Let us try A

If we put x = -3 , then y= 27-36+3+1=-5 , thus it us not the polynomial of given points

Now moving onto B

If x = -3, then y =-81-27+36-3-1=76

If x= -1 , then y=-1-1+4-1-1=0

If x =0, then y=-0-0+0-0-1=-1

If x =1, then y= -1+1+4+1-1=4

Thus it is also not the polynomial with given point.

Now onto c

x= -3 , y=81+27-36+3+1=76

x=0, y = 0+0+0+0+1=1

x= -1 , y = 1+1-4+1+1=0

x=1 , y= 1-1-4-1+1=-4

x=2, y=16-8-16-2+1=-9

Hence C is the polynomial of given points

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

the correct option is b

step-by-step explanation: