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?
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.
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?
Im not sure what that is, but this is school homework I got. So help would be appreciated
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