Lesson 4 More Ferris Wheels Solidify Understanding

Ready

Graph each circle.

${(x - 3)}^{2} + {(y + 2)}^{2} = 9$

${(x + 7)}^{2} + {(y - 5)}^{2} = 36$

${(x + 2)}^{2} + {(y + 8)}^{2} = 49$

$x^{2} + y^{2} = 1$

Find the equation of each circle and then use the symmetry of the circle to find at least two points in each quadrant that lie on the circle.

Describe the transformation(s) on the parabola in the following equations.

$y = x^{2} + 5$

$y = x^{2} - 1$

$y = - x^{2}$

$y = 4 x^{2}$

Given the equation $h (t) = 25 \sin (18 t) + 30$ , fill in the actual values on the graph for the midline, the amplitude, and the period.

Match the graph with the correct equation.

Consider the point $(- 4, 2)$ , which is on the circle $x^{2} + y^{2} = 20$ .

What is the radius of the circle?
Label the point $(- 4, 2)$ on the circle.
Sketch the angle of rotation in standard form showing the initial and terminal rays.
For the angle of rotation you just drew, what is the value of sine at the point $(- 4, 2)$ ? $\sin θ =$
What is the measure of the angle of rotation?

Consider the point $(2, - 5)$ , which is on the circle $x^{2} + y^{2} = 29$ .

What is the radius of the circle? $r = \underset{―}{}$
Label the point $(2, - 5)$ on the circle.
Sketch the angle of rotation in standard form showing the initial and terminal rays.
For the angle of rotation you just drew, what is the value of sine at the point $(2, - 5)$ ? $\sin θ =$
What is the measure of the angle of rotation?