Answer:
g(x) = h(x) – 3
Explanation:
To translate a function by shifting it up or down, you are moving it along the y-axis. This means that you have to alter the y-value when you are shifting it, so if h(x) is the y-value then to move it down 3 units you are subtracting 3 from whatever h(x) equals:
h(x) – 3 = g(x)
To check this out, say x is 5 in h(x):
h(5) = 5[tex]( 5)^{2} [/tex] – 4
h(5) = 5(25) – 4
h(5) = 125 – 4
h(5) = 121
So (5, 121)
If you shift this down three units it should be (5, 118)
Try 5 in g(x):
g(5) = h(5) – 3
g(5) = 121 – 3
g(5) = 118
So (5, 118)
Yes.
