Question

If x) = 4x2 - 16 were shifted 5 units to the right and 2 down, what would the

new equation be?
O A. h(x) = 4(x - 5)2 + 14
B. h(x) = 4(x + 5)2 - 17
C. h(x) = 4(x-18)2 - 5
D. h(x) = 4(x - 5)2 - 18

Answer 1

D

Explanation:

To shift h units to the right, replace x with x - h

To shift h units to the left, replace x with x + h.

To shift k units up, add k to the end of the formula for the function.

To shift k units down, subtract k from the end of the formula.

Example:
`y=x^2`

`y=(x+2)^2+6` is
`y=x^2` shifted left 2 units and up 6 units.

Caution: the right/left shifts sometimes look backwards!