 1. x = -3 2. x = 11/15 3. x = -1.3 4. x = 3.8 5. x ≤ 7 6. x > -3 7. x ≥ 3/2 8. x ≤ - 13 9. 57 hours or more 10. x = 32 11. x = 27/20 12. x = -16 13.

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Presentation transcript:

 1. x = x = 11/15 3. x = x = x ≤ 7 6. x > x ≥ 3/2 8. x ≤ hours or more 10. x = x = 27/ x = x = feet  15. (9,0)&(0,6) 16. (-3,0)&(0,5) 17. (12,0)&(0,3) 18. (-3.5,0)&(0,-3.5) 19. y = 3x y = -2x y = 3/5x y = -3x y = 5x y = 3/4x y = 3/2x y = 2/5x y ≤ y>- 2/5x y L + 1.5S≤30

 Horizontal shift – moving a graph right or left  F(x) -> f(x-h) moves it h units right.  F(x) -> f(x+h) moves it h units left.  Example: y = 3x+7 move two units left.  Answer: y = 3(x+2) + 7 = 3x + 13  Check by graphing! Use calculator OR make input/output table to graph. Look at x – intercept – easiest way to see horizontal shift

 Vertical shift – moving a graph up or down  F(x) -> f(x) +h moves it h units up  F(x) -> f(x) – h moves it h units down  Example: y = 3x + 2 move down 3 units  Answer: y = 3x + 2 – 3 = 3x – 1  Check by graphing: Use calculator OR make input/output table to graph. Look at y- intercept – easiest way to see vertical shift

 Reflection across y-axis – flips graph over y- axis  F(x) -> f(-x) flips across y-axis  Example: Reflect y = 3x + 7 over y-axis  Answer: y = 3(-x) + 7 = -3x + 7  Check by graphing – when both graphed on same axes, image should be mirrored on either side of y-axis.

 Reflection across x-axis – flips graph over x- axis  F(x) -> -f(x) flips (reflects) over x-axis  Example: y = 3x+2 reflect over x-axis.  Answer: y = -(3x + 2) = -3x-2  Check by graphing – when both graphed on same axes, image should be mirrored on either side of x-axis.

 Mean (average) --- sum all numbers, divide by how many numbers there are.  Median --- order numbers from least to greatest, find middle number. If middle is between two numbers, average those two.  Mode --- number that occurs most often. Can be no mode or more than one mode.  Range --- subtract lowest number from highest number

 2-6 #1,8,9,16,23,25