Question

Which describes the effect of the transformations on the graph of f(x) = x? when changed to f(x) = - = (x - 2) = 3?A)B)reflected over x-axis, stretched vertically, shifted left 2 units, and shifteddown 3 unitsreflected over x-axis, compressed vertically, shifted right 2 units, and shiftedup 3 unitsreflected over y-axis, stretched vertically, shifted left 2 units, and shifteddown 3 unitsreflected over y-axis, compressed vertically, shifted right 2 units, and shiftedup 3 units09D)

Answer 1

Let me start by telling you that there is a typo in the actual question (given the answers they provide for selection)

I am going to tell you the transformations that have been applied to change the function:

$f(x)=x^2$

into the function:

$f(x)=\frac{1}{8}(x-2)^2+3$

Then, these transformations consist on:

a reflection around the x axis (due to the negative sign in front),

a horizontal shift in TWO units to the right (given by the subtraction of 2 inside the parenthesis,

then a vertical compression in 1/8 (due to the factor 1/8 outside the parenthesis

and then a vertical shift of 3 units UP due to the +3 added at the end

Then, please select answer B in the list provided