Question

Which statement describes the translation of y = −5(x+ 2)2 − 3 from standard position?

A. up and to the right
B. up and to left
C. down and to left
D. down and to right

Answer 1

Choice C: Down and to the left

Since the value -3 serves as the y-intercept, the equation moves down.

Since the value -2 serves as the x-intercept, the equation moves to the left.

Keep in mind that the original standard equation of a parabola is in the form:

f(x) = a(x-h)^2 +k.

Since in the equation you presented us with has the value of h as a positive, that means that the "2" had to have been negative before placed in the equation, because then there would be two negatives which would turn the "2" into a "positive"

Just clarifying incase anyone would assume the answer to be down and to the right, which is wrong.

Therefore the correct answer choice is C.

Hope this helped!