Answer:
y = 4x² -8x +10
Explanation:
You want to write the equation y = 4(x -1)² +6 in standard form.
Distributive property
The distributive property is used to eliminate parentheses.
y = 4(x -1)² +6 . . . . . . given equation
y = 4(x -1)(x -1) +6 . . . . . the meaning of the exponent of 2
y = 4((x(x -1) -1(x -1)) +6 . . . . . distributive property applied once
y = 4(x² -x -x +1) +6 . . . . . . . . . . distributive property applied again
y = 4(x² -2x +1) +6 . . . . . . collect terms inside parentheses
y = 4x² -8x +4 +6 . . . . . . . distributive property applied
y = 4x² -8x +10 . . . . . . . . . collect terms