The function g is defined as follows. g(x)=2x^2-5 If the graph of g is translated vertically upward by 3 units, it becomes the graph of a function h. Find the expression for h(x).

Explanation:

We shift the graph of g upward by 3 units. This means we add 3 onto g(x) like so

h(x) = g(x)+3

h(x) = (2x^2-5)+3

h(x) = 2x^2-5+3

h(x) = 2x^2-2

All points on g(x) move up by 3 units to get to a point on h(x). For instance, the y intercept (0,-5) on g(x) moves to (0,-2) on h(x).

When we say something like g(x)+3, we effectively mean y+3 to indicate an upward shift of 3 units. Recall that y = g(x) because they are both outputs.

0.02040816326

school a:

minimum value is 2

maximum value is 22

the lower quartile is 2.5

the median is 10

the upper quartile is 15.5

school b:

minimum value is 9

maximum value is 20

the lower quartile is 12

the median is 16

the upper quartile is 18

box plot for school a isn't symmetrical. the data tails on the right

box plot for school b isn't symmetrical. the data tails on the left

hope i

-lavira: )