Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 3: Exploration 1

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 $4$.

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.

$y=x^2-\sqrt{8x}$ and $y=2\sqrt{2x}-x^2$

Use $x$-values of $0$ to $4$ and $y$-values of $-6$ 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.

$y=0.5\left(x+5\right)\sqrt{4-x}$ and $y=\frac{1}{2}\sqrt{x+4}\left(5-x\right)$

Use $x$-values of $-10$ to $10$ and $y$-values of $-6$ to $6$.