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

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!

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