Check the picture below, you can pretty much count the units off the grid for the length and width.
recall area = length * width.
Answer:
(1,1), (-1,1)
Step-by-step explanation:
To reflect a point over the x-axis, simply make its x-value negative. So, we can take the sample point of (1,1), make its x-value negative, and get (-1,1).
12*2+7(x) you need to solve for x
Answer:
- y = -(x-1)² . . . . reflected over the x-axis
- y = (x-1)² +1 . . . . translated up by 1 unit
- y = (x+1)² . . . . reflected over the y-axis
- y = (x-2)² . . . . translated right by 1 unit
- y = (x-1)² -3 . . . . translated down by 3 units
- y = (x+3)² . . . . translated left by 4 units
Step-by-step explanation:
Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:
- f(x-a) . . . translates right by "a" units
- f(x) +a . . . translates up by "a" units
- a·f(x) . . . vertically scales by a factor of "a". When a < 0, reflects across the x-axis
- f(ax) . . . horizontally compresses by a factor of "a". When a < 0, reflects across the y-axis.
Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.
5 1/3+1 1/3
= 15/3+1/3 3/3+1/3
=20/3
= 18/3+2/3
=6 2/3
OR
when both fractions are the same, you can just add them this way:
5 1/3 + 1/3
= 5+1 + 1/3+1/3
=6+2/3
= 6 2/3
