Which phrase best describes the translation from the graph y = 6x2 to the graph of y = 6(x + 1)2?
6 unit left
6 unit right
1 unit left
1 unit right
x

Option C is correct.

Step-by-step explanation:

Given Graph :

Translated Graph :

We have to find phrase that best describes the translation.

Since Initial graph is of a parabola with vertex ( 0 , 0 )

And translated graph is also of parabola but with vertex ( -1 , 0 )

As the vertex of the graph shifted 1 unit to the left hand side.

Therefore, Option C is correct.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.