Question

The parabola with the equation y = x2 was both horizontally and vertically translated to produce the parabola with the equation y = x2 – 14x + 39. Which statement is true?

A) The parabola with the equation y = x2 was translated 7 units to the left and 10 units down.
B) The parabola with the equation y = x2 was translated 7 units to the left and 10 units up.
C) The parabola with the equation y = x2 was translated 7 units to the right and 10 units down.
D) The parabola with the equation y = x2 was translated 7 units to the right and 10 units up.

Answer 1

C

Explanation:

Original equation:
`y=x^2`

After translation, $y=x^2-14x+39$

$\implies y=(x^2-2 \times7 x+49)-10$

$\implies y-(-10)=(x-7)^2$

Thus the origin has been shifted to the point $(7,-10)$