Question

Write the New Equation of the Parabola y=x^2 If the point (2,7) is on the parabola y=x^2, what would the coordinates of this point become if the parabola was shifted down five units and left 6 units?

Answer 1

The original coordinates (2,7) change to (-4,2) after shifting the parabola down five units and left six units.

Step-by-step explanation:

If the parabola y = x^2 has the point (2,7) on it, we can find the new coordinates of this point after the parabola is shifted by altering the original x and y values. To shift the parabola down five units, we subtract 5 from the y-coordinate. To shift it left six units, we subtract 6 from the x-coordinate.

Original point: (2, 7)

Shift down 5 units: y-coordinate becomes 7 - 5 = 2

Shift left 6 units: x-coordinate becomes 2 - 6 = -4

Therefore, the new coordinates of the point after the transformation are (-4, 2).