Can someone please help me thank you

(x+1)(x+2)(x-3)

x³-7x-6

Step-by-step explanation:

We are looking for an equation where we have a degree of 3 and where we can plug in -1, -2, or 3 for x and have it equal 0

the first one is definetly correct

To see if there's another answer let's mulitply it out

(x+1)(x+2)(x-3)= (x-3)(x²+3x+2)= x³-7x-6 which is equal to the third one

Step-by-step explanation:

The equation that results from translating the parabola y=x^2y=x

2

y, equals, x, squared to the right by \greenD{h}hstart color #1fab54, h, end color #1fab54 units and up by \goldE{k}kstart color #a75a05, k, end color #a75a05 units is:

y=(x-\greenD{h})^2+\goldE{k}y=(x−h)

2

+ky, equals, left parenthesis, x, minus, start color #1fab54, h, end color #1fab54, right parenthesis, squared, plus, start color #a75a05, k, end color #a75a05

Note that negative values of \greenD{h}hstart color #1fab54, h, end color #1fab54 represent leftward shifts and negative values for \goldE{k}kstart color #a75a05, k, end color #a75a05 represent downward shifts.

Hint #22 / 3

g(x)=(x-\greenD{0})^2+\goldE{(-8)}g(x)=(x−0)

2

+(−8)g, left parenthesis, x, right parenthesis, equals, left parenthesis, x, minus, start color #1fab54, 0, end color #1fab54, right parenthesis, squared, plus, start color #a75a05, left parenthesis, minus, 8, right parenthesis, end color #a75a05

Since the function is translated up by \goldE{-8}−8start color #a75a05, minus, 8, end color #a75a05, that means it is translated down by 888 units.

Hint #33 / 3

To get the function g, shift f down by 8 units.