Question

shifting functions vertically and horizontally

Answer 1

@jtryon

Answer 2

might be D

Answer 3

When you shift a function to the right by 'a' units, you subtract 'a' from every variable 'x' in the function. That is, the function f(x) becomes f(x - a). Here H(x) becomes H(x - 5) when you shift it five units to the right.

Similarly when you shift a function vertically, a constant value is added/subtract from the function itself. So shifting H(x - 5) 2 units down will give you a new function H(x - 5) - 2

Answer 4

Given H(x) = 4x^2 - 16, we get
H(x - 5) - 2 = 4(x - 5)^2 - 16 - 2 = 4(x - 5)^2 - 18
D seems the right answer

Answer 5

yes D when its shifted 5 units to the right then h(x)=h(x-5)
so h(x)=4(x-5)^2-16
now 2 uints down
so h(x)=4(x-5)^2-16-2=4(x-5)^2-18

Answer 6

thanks @sidsiddhartha and @navk and @matricked

Answer 7

yw

Answer 8

:)