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Lesson 4 More Ferris Wheels Solidify Understanding

Ready

Identify the following functions as even, odd, or neither.

1.

a curved line graphed on a coordinate plane with one end pointing up and the other point downxy

A.

even

B.

odd

C.

neither

2.

a curved line graphed on a coordinate plane with both the ends pointing upxy

A.

even

B.

odd

C.

neither

3.

a curved line in the bottom left of a coordinate plane with the same line reflected over the point (0,0)xy

A.

even

B.

odd

C.

neither

4.

a curved line with both ends pointing down graphed on a coordinate planexy

A.

even

B.

odd

C.

neither

5.

a sine function graphed on a coordinate plane xy

A.

even

B.

odd

C.

neither

6.

a parabola graphed on a coordinate plane where both ends are point upxy

A.

even

B.

odd

C.

neither

7.

5 linear line segments graphed together with ends pointing up and downx–4–4–4–2–2–2222444y–2–2–2222000

A.

even

B.

odd

C.

neither

8.

a horizontal line in the bottom left corner ending at the y axis and a horizontal line in the top right corner beginning at the y axis are graphed on a coordinate planexy

A.

even

B.

odd

C.

neither

9.

a cosine function is graphed on a coordinate plane xy

A.

even

B.

odd

C.

neither

10.

a linear function is graphed on a coordinate plane with a positive slope and points at (-1,0) and (0,1)x–2–2–2–1–1–1111222y–2–2–2–1–1–1111222000

A.

even

B.

odd

C.

neither

Set

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

11.

12.

13.

14.

15.

Given the equation , fill in the actual values on the graph for the midline, the amplitude, and the period.

a curved line is graphed on a coordinate plane representing a sine function. Amplitude, midline, and period are labeled. xyPeriodAmplitudeAmplitudeMidline

16.

  1. ___

    a wide sine graph with a point at (0,-10)x555101010151515y–40–40–40–20–20–20202020000

  2. ___

    a wide sine graph with a point at (0,-15)x555101010151515202020y–40–40–40–20–20–20202020000

  3. ___

    a narrow sine graph with a point at (0,-10)x–5–5–5555101010151515y–40–40–40–20–20–20000

  4. ___

    a wide sine graph with a point at (0,15)x555101010151515202020y–20–20–20202020404040000

  5. ___

    a narrow sine graph with a point at (0,10)x–5–5–5555101010151515202020252525y–20–20–20202020404040000

  6. ___

    a narrow sine graph with a point at (0,0)x–5–5–5555101010151515202020252525y–40–40–40–20–20–20202020404040000

Go

17.

Consider the point , which is on the circle .

Untitledx–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444y–4–4–4–3–3–3–2–2–2–1–1–1111222333444000

  1. What is the radius of the circle?

  2. Label the point on the circle.

  3. Sketch the angle of rotation in standard form showing the initial and terminal rays.

  4. For the angle of rotation you just drew, what is the value of sine at the point ?

  5. What is the measure of the angle of rotation?

18.

Consider the point , which is on the circle .

a circle graphed on a coordinate plane x–4–4–4–2–2–2222444y–4–4–4–2–2–2222444000

  1. What is the radius of the circle?

  2. Label the point on the circle.

  3. Sketch the angle of rotation in standard form showing the initial and terminal rays.

  4. For the angle of rotation you just drew, what is the value of sine at the point ?

  5. What is the measure of the angle of rotation?