Answer: 4.4 + (4 x 1/4 + 8.6) = 14
Step-by-step explanation: Because starting inside the parenthesis, 4 times 1/4 = 1. Then 8.6 plus 1 = 9.6. Finally, 9.6 plus 4.4 which equals 14. :)
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A open circle means that x is < or >.
A closed circle means that x is ≤ and ≥.
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Answer: A) x > -8 or x ≥ 5
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Explanation: Their are two dots on the number line. One being a closed dot and the other being an open dot. The open dot symbolizes that x needs to be greater than -8. The closed dot symbolizes that x needs to be less than or equal to 5.
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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.
The correct answer is c yourself ok