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?

weredumbmaster22 Sep 27, 2022

#1**+2 **

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.

proyaop Sep 27, 2022

#2**+2 **

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?

Melody Sep 27, 2022

#3**+2 **

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

weredumbmaster22 Sep 30, 2022

#5**+1 **

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

weredumbmaster22 Oct 5, 2022