Sketch a graph of $f\left(x\right)=2x+3$.

Write down the coordinates of the vertex of the graph of $y=x^2+6x+8$.

What are the three transformations for linear and quadratic graphs?

Use your graphing software to draw the following pair of curves on the given axes. In the following case, describe briefly in words how the first curve must be transformed to match the second curve.

$y=x^4-2x^3$ and $y=x^4+2x^3-2x-1$

Use $x$-values of $-3$ to $3$ and $y$-values of $-3$ to $5$.

Use your graphing software to draw the following pair of curves on the given axes. In the following case, describe briefly in words how the first curve must be transformed to match the second curve.

$y=x^3-13x^2+54x-72$ and $y=x^3-4x^2+3x+2$

Use $x$-values of $-2$ to $8$ and $y$-values of $-4$ to $4$.

Use your graphing software to draw the following pair of curves on the given axes. In the following case, describe briefly in words how the first curve must be transformed to match the second curve.

$y=x^2+x-6$ and $y=3\left(x+3\right)\left(x-2\right)$

Use $x$-values of $-4$ to $3$ and $y$-values of $-20$ to $6$.

Use your graphing software to draw the following pair of curves on the given axes. In the following case, describe briefly in words how the first curve must be transformed to match the second curve.

$y=\sqrt{x+4}$ and $y=\sqrt{2x+4}$

Use $x$-values of $-4$ to $4$ and $y$-values of $-1$ to $4$.