Sketch a graph of the function. Use transformations of functions when ever possible. f(x)= -frac{1}{4}x^{2}

What transformations of the parent graph of ${\displaystyle f\left(x\right)=\sqrt{c}}$ produce the graphs of the following functions?
a) ${\displaystyle m\left(x\right)=\sqrt{7x-3.5}-10}$
b) ${\displaystyle j\left(x\right)=-2\sqrt{12x}+4}$

h is related to one of the six parent functions. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to h. (c) Sketch the graph of h by hand. (d) Use function notation to write h in terms of the parent function f. $h(x)=f(x-1)+4$

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.
${\displaystyle y=\left|x\right|-2}$

Find the linear equations that can be used to convert an (x, y) equation to a (x, v) equation using the given angle of rotation θ. $\theta ={\tan }^{-1}(5/12)$

For ${\displaystyle y=-\log 3}$
x a. Use transformations of the graphs of ${\displaystyle y=\log 2x}$
x and ${\displaystyle y=\log 3x}$
x to graph the given functions. b. Write the domain and range in interval notation. c. Write an equation of the asymptote.

Describe the transformations of
${\displaystyle f\left(x\right)=\sqrt{3}\left\{x\right\}}$ and ${\displaystyle h\left(x\right)=x^3}$
that result in the functions listed below.
${\displaystyle g\left(x\right)=-\sqrt{3}\{x-3\}}$ and ${\displaystyle j\left(x\right)=-{(x-3)}^3}$
${\displaystyle p\left(x\right)=4\sqrt{3}\{-x\}-1}$ and ${\displaystyle q\left(x\right)=0.25{(-4x)}^3-1}$

${\displaystyle 2x²+4x+1=0}$