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!

what do you mean by fog

step-by-step explanation: