Graphing Functions using Transformations

From the curve $y=\sin x$, draw $y=\sin \left|x\right|$ (Hint:$\sin (-x)=-\sin x$)

From the curve $y=\left|x\right|,$ draw

$y=|x+2|-3$

From the curve $y=\left|x\right|,$ draw

$y=|x+1|-1$

From the curve $y=\left|x\right|,$ draw

$y=|x-1|+1$

From the curve $y=x,$ draw

$2 x+y+3=0$

From the curve $y=x,$ draw

$y=\frac{1}{2}x+1$

From the curve $y=x,$ draw

$y=x+1$

From the curve $y=x$, draw

$y=2 x$

From the curve $y=x$, draw 

$y=-x$

From the curve $y=\sin x$, graph the function

$y=\sin (-x)$

From the curve $y=\sin x$, graph the function

$y=-\sin (-x)$

From the curve $y=\sin x$, graph the function

$y=\sin \left(\frac{\pi }{2}+x\right)$ which is $\cos x$

From the curve $y=\sin x$, graph the functions

$y=\sin \left(\frac{\pi }{2}-x\right)$ which is also $\cos x$ (refer trigonometry)

Write the steps to obtain the graph of the function $y=3(x-1{)}^2+5$ from the graph $y=x^2$

Graph the functions $f\left(x\right)=x^3$ and $g\left(x\right)=\sqrt[3]{x}$ on the same coordinate plane. Find $f\circ g$ and graph it on the plane as well. Explain your results.

For the curve $y=x^{\left(\frac{1}{3}\right)}$ given in Figure, draw

$y=(x+1{)}^{\left(\frac{1}{3}\right)}$

For the curve $y=x^{\left(\frac{1}{3}\right)}$ given in Figure, draw

$y=x^{\left(\frac{1}{3}\right)}-1$

For the curve $y=x^{\left(\frac{1}{3}\right)}$ given in Figure, draw

$y=x^{\left(\frac{1}{3}\right)}+1$

For the curve $y=x^{\left(\frac{1}{3}\right)}$ given in Figure, draw

$y=-x^{\left(\frac{1}{3}\right)}$

For the curve $y=x^3$ given in Figure, draw

$y=(x+1{)}^3$