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1 answer:
The coordinates of the point N after the transformation is (-7,-4)
Explanation:
Given that the coordinates of the point N is (7,4)
The point is rotated 180° counterclockwise about the origin.
We need to determine the coordinates of the point N after the rotation 180° counterclockwise about the origin.
<u>Coordinates of the image:</u>
The transformation rule to rotate the point 180° counterclockwise about the origin is given by
Substituting the point (7,4), we get,
Thus, the coordinates of the point N after the transformation is (-7,-4)
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Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,
= -2.5
= 2.5
= 7.5
2nd difference,
= 5
= 5
= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.