Question

How do I do this please help I'm in tears

Let f(x) represent a function. Which descriptions match the given transformations? Drag and drop the answers into the boxes.
f(x+54)
, f(x)+54
f(x)−54
−f(x)
f(x) is translated 5/4 units up
f(x) is translated 5/4 to the left
f(x) reflects across the x axice
f(x) is translated 5/4 units right
f(x) vertically stretched by a factor of 5/4

Answer 1

f(x) is vertically stretched by a factor of 5/4 matches w/ f(x)-5/4
f(x) reflects the x axis matches w/ -f(x)
f(x) is translated 5/4 units up matches with f(x)+5/4
f(x) translated 5/4 to the left matches w/ f(x)-5/4

I didn't really know about this one but it seemed kind of easy, what was your first guesses and did you forget to put one more or was the question like that.


Hope this is right :) or if someone else has a different answer but in the meantime, good luck :)

Answer 2

Step-by-step explanation:

We know that,

Translation shifts the figure in horizontal or vertical direction.

Reflection flips the figure around a line.

Dilation changes the size of the figure.

Now, using above information, we see that,

$f(x+\frac{5}{4})$ represents that the function is translated horizontally $\frac{5}{4}$ units to the left.

$f(x)+\frac{5}{4}$ represents that the function is translated vertically $\frac{5}{4}$ units upwards.

$f(x)-\frac{5}{4}$ represents that the function is translated vertically $\frac{5}{4}$ units downwards.

$-f(x)$ represents that the function is reflected across x-axis.

The transformations applieed can be viewed in the figure below.