+589 1) The region between the graph of $y = f (x)$ and the $x$-axis, shaded in this figure, has an area of 10 square units. What is the area between the graph of $y = \dfrac 12 f (-x)$ and the $x$-axis?
2) The region between the graph of $y = f (x)$ and the $x$-axis, shaded in this figure, has an area of 10 square units. What is the area between the graph of $y = \dfrac 12 f (-x)$ and the $x$-axis?
+1632 Lol this is AoPS algebra 2 math homework... I will not say the answer, but I will be saying a hint. 1/2 is halving the height of the object, and reflecting across the y axis won't do anything... Thus use geometry.
+118687 Hi Proyaop
Why do you think that this function is even. It does not say so in the question.
How can you know what f(-x) looks like at all?
+589 Im not sure what that is, but this is school homework I got. So help would be appreciated
+589 For number 1 the question is: The region between the graph of y=f(x) and the x-axis, shaded in this figure, has an area of 10 square units. What is the area between the graph of y=f(x+2) and the x-axis?
And yes the negative sign is in the correct place for number 2
+1632 Hey weredumbmaster22: I found the original post to this question, here it is:
https://web2.0calc.com/questions/i-m-stuck-on-these
