5 8 Graphing Absolute Value Equations How do

5. 8 Graphing Absolute Value Equations How do I make one of those V graphs?

Parent Function y = │x │

video n https: //www. youtube. com/watch? v=8 Icr 5 bc. G 9 yo

Video for worksheet n https: //www. youtube. com/watch? v=2 yh. An. Er 9 4 i. M

Absolute value transformation Vocabulary: n Translation: shifts the parent function graph horizontally and vertically. n Reflection: it creates a mirror image of the parent-function graph across the line of reflection.

Vertical Movements? n Absolute value rules: n If you have minus outside the absolute value, you move down on the coordinate plane. y =│x│- 2 n If you have addition outside the absolute value, you move up on the coordinate plane. y =│x│+ 2

Lets practice! n y = │x│ - 4 n y = │x│+ 3

Your turn! n y = │x│ + 7 n y = │x│ - 2

Horizontal Movements? n Absolute value special rules: n If you have minus inside the absolute value, you move to the right on the coordinate plane. y =│x - 2 │ n If you have addition inside the absolute value, you move to the left on the coordinate plane. y =│x + 2 │

Lets Practice! n y =│x - 5│ n y =│x + 6│

Your Turn! n y =│x + 4│ n y =│x - 1│

What about y = │x - 4 │+ 5

What about y = -│x - 2 │

y = -│x │ Reflection of the Parent-function Same rule, but now it makes it look down

Review

Verbal Comprehension Analysis n Graph the functions y = │x │ and y = │x - 3 │ together on the same coordinate plane. n What effect does the 3 have on the graph? n Graph the functions y = │x │ and y = │x │- 3 on the same coordinate plane. n What effect does the 3 have on the graph? n Graph the functions y = │x │ and y = - │x │ together on a coordinate plane. n What effect does the negative sign have on the graph?

Wrap-up: n Review key points n Review vocabulary words