Question

HELP ME PLS :((

Question 8 of 10
If g(x) = 4x2 - 16 were shifted 7 units to the right and 3 down, what would the
new equation be?
A. h(x) = 4(x+ 9)2 - 17
B. h(x) = 4(x + 7)2 + 19
C. h(x) = 4(x - 9)2 - 17
D. h(x) = 4(x - 7)2 - 19
SUBMIT

Answer 1

D

Explanation:

Let us start with the standard equation of a parabola,
`y=a(x-h)^2+k`. To move the parabola up or down, we would change the value of k. k>0, the parabola goes upward. k<0, the parabola goes downward. To move the parabola left or right, we would change the h value. h>0, the parabola goes to the right. h<0, the parabola goes to the left. Also take note that a change of 1 unit on an h or k value reflects also a 1 unit translation on the graph of the parabola.

The question asks us to shift our parabola
`g(x)=4x^2-16` right 7 units and down 3 units. Therefore, we have:

`g(x)=4(x-7)^2-16-3\\g(x)=4(x-7)^2-19`

D

I hope this helps! Let me know if you have any questions :)