Erik transformed the equation y = 2(x − 2)^2 + 5 from vertex form to standard form. His steps are shown below. Is Erik's work correct? If not, identify and correct his error. y = 2(x − 2)^2 + 5
y = 2(x^2 − 4x + 4) + 5
y = 2x^2 − 8x + 8 + 5
y = 2x^2 − 8x + 13
A. No. The error is in the second line: the expanded form of (x − 2)^2 is x^2 − 4.
B. No. The error is in the third line: the product of 2 and x^2 − 4x + 4 is 2x^2 − 4x + 4.
C. No. The error is in the fourth line: the sum of 8 and 5 is 12.
D. Yes. Erik is correct in his transformation from vertex form to standard form.

the answer is 1/4

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: