Leo transformed the equation y = 4(x − 1)2 + 3 from vertex form to standard form. His steps are shown below. Is Leo's work correct? If not, identify and correct his error. y = 4(x − 1)2 + 3
y = 4(x2 − 2x + 1) + 3
y = 4x2 − 8x + 1 + 3
y = 2x2 − 8x + 4

No. The error is in the fourth line: the sum of 1 and 3 is 9.

No. The error is in the second line: the expanded form of (x − 1)2 is x2 − 1.

Yes. Leo is correct in his transformation from vertex form to standard form.

No. The error is in the third line: the product of 4 and x2 − 2x + 1 is 4x2 − 8x + 4.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

what is the answer?