Which is one of the transformations applied to the graph of f(x)=x? to produce the graph of g(x)=2x2–28x+3? O shifted up 3 units
O shifted left 7 units
O shifted right 7 units
O shifted down 3 units

step-by-step explanation:

options

↓↓↓↓↓↓↓↓↓

step-by-step explanation:

this is a parabola.

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81

(1 km=1000m, 1m=100 cm)