Lesson 10 Getting Centered Solidify Understanding
Figure 1 shows the graph of the function f ( x ) = x 3 .
Write the equation for each transformation of f ( x ) = x 3 .
f ( x ) = x 3 is moved to the left 6 units and up 3 units . It also undergoes a vertical stretch by a factor of 1 2 .
f ( x ) = x 3 is moved to the left 11 units and up 8 units . It also undergoes a vertical stretch by a factor of 4 .
For problems 3 and 4, use the graph to write the equation of the transformed function.
f ( x ) looks like Figure 2.
f ( x ) looks like Figure 3.
Write the equation of a circle congruent to ⨀ C with center at point P .
Write the equation of a circle centered at T ( − 7 , − 3 ) and with a radius equal to the hypotenuse of △ A B C .
Write the equation of ⨀ V .
Write the equation of the circle with the given center and radius.
Then write it in general form: x 2 + y 2 + A x + B y + C = 0 .
Center: ( 5 , 2 ) Radius: 13
Center: ( − 6 , − 10 ) Radius: 9
Center: ( 0 , 8 ) Radius: 15
Center: ( 19 , − 13 ) Radius: 1
Center: ( − 1 , 2 ) Radius: 10
Center: ( − 3 , − 4 ) Radius: 8
Solve for x .
47 = 4 3 x + 15
2 x − 13 = 6 x + 15
3 x + 18 = 2 1 2 x + 40
x 2 + 17 x = 38
− 180 = − 4 x 2 + 720
x 2 − 120 = 1
4 x 2 + 52 x + 169 = 0
COMMENTS
24. 25. 26. Look back at each consecutive set of three problems (e.g., 13, 14, 15). Explain how it is possible that the coefficient of the middle term can be different in each problem when the first and last coefficients are the same. Go. Solve the system of equations. 27. 28.
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SECONDARY MATH I // MODULE 2 LINEAR & EXPONENTIAL FUNCTIONS Mathematics Vision Project
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Solving literal equations (A.REI.1, A.REI.3, A.CED.4) Ready, Set, Go Homework: Getting Ready 1.7 Classroom Task: Cafeteria Conundrums - A Develop Understanding Task Writing inequalities to fit a context (A.REI.1, A.REI.3) Ready, Set, Go Homework: Getting Ready 1.8 Classroom Task: Greater Than? - A Solidify Understanding Task
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Lesson 10 Getting Centered Solidify Understanding. Getting Centered. Ready. Figure 1 shows the graph of the function . x -2 -2 -2 2 2 2 y 2 2 2 0 0 0 figure 1. Write the equation for each transformation of . 1. is moved to the left and up . It also undergoes a vertical stretch by a factor of .
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