In this exercise, sketch the graph of the equation.

$$(x-4)^2+(y+7)=4$$

In this exercise, sketch the graph of $y=x^n$ and each transformation.

$$y=x^6$$

$$f(x)=x^6-4$$

In this exercise, sketch the graph of $y=x^n$ and each transformation.

$$y=x^3$$

$$f(x)=(x-2)^3$$

Add to the picture in Exercise S-7 the graph of $y=-1.7 x+9.7$.

In this exercise, sketch the graph of the equation.

$$y=2 x^2-7 x-30$$

In this exercise, solve the equation by factoring.

$$2 x^2-x-28=0$$

In this exercise, graph the equation by hand.

$$(x-2)^2+y^2=25$$

In this exercise, sketch the graph of the equation.

$$y=\dfrac{4}{1-3 x}$$

In this exercise, sketch the graph of the inequality.

$$y \geq 6-\ln (x+5)$$

In this exercise, rewrite the logarithm as a ratio of natural logarithms.

$$\log _3 x$$

In this exercise, use reference angles to find the sine,

$$570^{\circ}$$

In this exercise, graph the equation by hand.

$$(x+3)^2=5 y-8$$

In this exercise, graph the given semiellipse.

$$y=-\sqrt{4-4 x^2}$$

In this exercise, factor the given expressions completely.

$$4 x^3+32$$