Write an equation for a function whose graph of fxsqrt of x

Write an equation for a function whose graph of f(x)=(sqrt of x) is shifted 2 unit down, reflected in the x-axis and is compressed vertically by a facotr of 1/4.

Solution

giiven f(x)=x

step1:shifted 2 unit down

f(x)=(x)-2

step2: reflected in the x-axis

f(x)=-[(x)-2]

step3:  compressed vertically by a facotr of 1/4

f(x)=-(¹/₄)[(x)-2]