Answer:
(- 1, 1 )
Step-by-step explanation:
Given the 2 equations
y = 3x + 4 → (1)
y = x + 2 → (2)
Substitute y = 3x + 4 into (2)
3x + 4 = x + 2 ( subtract x from both sides )
2x + 4 = 2 ( subtract 4 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
Substitute x = - 1 into either of the 2 equations and evaluate for y
Substituting x = - 1 into (2)
y = - 1 + 2 = 1
Solution is (- 1, 1 )
I believe its 4 we haven't really went over it
R=1/2*d
r=1/2*9
r=4.5 inches
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.
Answer:
It’s a bar graph because those orange rectangles show the data
