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?

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 u

Answer 1

y=x2-14x+39
standard equation
y = ax^2
after shifting to (x1,y1)
new equation
y-y1=a*(x-x1)^2
convert your equation in this form

Answer 2

y=x2-2*7*x+39+10-10
10 is added and subtracted to make it perfect square
y=(x2-2*7*x+49)-10
y+10=(x2-2*7*x+7^2)
y-(-10)=(x-7)^2
so shifted to (7,-10)

Answer 3

so 7 unit right and 10 unit down