Assignment pencil red pen highlighter textbook notebook graphing

Assignment, pencil, red pen, highlighter, textbook, notebook, graphing calculator Write the equation in Vertex form by completing the square then sketch a graph. 10 y 8 6 – 8 +1 +4 +2 4 +1 2 – 10 – 8 – 6 – 4 – 2 2 – 2 +2 total: +1 – 4 – 6 – 8 – 10 4 6 8 10 x

Take out your parent graph toolkit. We are going to add the parent graphs for lines.

PARENT GRAPH TOOLKIT Name: Lines Parent Equation: y = x Description of Locator: y–intercept (0, y) General Equation: y = mx + b x y -3 -2 -1 0 1 2 3 10 8 6 4 2 – 4 – 8 (steepness) b = y–intercept x (0, 0) – 6 Properties: y – 10 Domain: Range: {x| x R} {y| y R} 2 4

Now onto something else… Take out today’s worksheet

PG – 56 Using 3 different colors, highlight the equations that seem to be the most alike.

List the similar equations below by category: cubic reciprocal exponential Over the next 3 days, we will study each of these sets of functions. Today we will look at cubic functions. Be sure to have a graphing calculator.

Group name: ________ Functions 3 (parent graph) y = x Equation: _____ (0, 0) locator point: _____ x y 10 – 3 – 27 8 – 2 – 1 – 8 – 1 0 0 1 1 2 8 3 27 Locator point (0, 0) y 6 4 2 – 10 – 8 – 6 – 4 – 2 2 4 6 8 10 x – 2 – 4 – 6 – 8 – 10 Link to Geo Sketch

(h, k) (1, 0) locator point: _____ 3 y = (x – 1) Equation: _____ x y 10 – 27 8 – 1 0 – 8 – 1 Locator point 6 (1, 0) 4 1 0 2 1 3 8 4 27 y 2 – 10 – 8 – 6 – 4 – 2 2 4 6 8 10 x – 2 – 4 – 6 – 8 – 10 Link to Geo Sketch

(h, k) (2, 1) locator point: _____ 3 + 1 y = (x – 2) Equation: ______ x y – 1 – 26 0 1 – 7 0 2 1 3 2 4 9 5 28 10 y Locator point 8 (2, 1) 6 4 2 – 10 – 8 – 6 – 4 – 2 2 4 6 8 10 x – 2 – 4 – 6 – 8 – 10 Link to Geo Sketch

(h, k) (– 2, 0) locator point: _____ Equation: ______ x y – 5 – 13. 5 – 4 – 3 – 4 – 0. 5 – 2 0 – 1 0. 5 0 4 1 13. 5 10 Locator point (-2, 0) y Stretch factor: 8 6 4 2 – 10 – 8 – 6 – 4 – 2 2 4 6 8 10 x – 2 – 4 – 6 – 8 – 10 Link to Geo Sketch

PARENT GRAPH TOOLKIT Name: Cubics Parent Equation: y = x 3 Description of Locator: inflection point (h, k) x y -2 -1 0 1 2 -8 -1 0 1 8 General Equation: 8 4 2 (0, 0) – 4 – 2 (– 1, – 1) – 2 – 6 (– 2, – 8) – 8 Properties: flip horizontal shift y = +/- a(x – h)3 + k – 10 Domain: Range: {x| x R} {y| y R} vertical shift (2, 8) 6 – 4 y = a(x – h)3 + k Wider or narrower 10 y (1, 1) 2 4 x

Based on the patterns you have observed, graph the next 4 cubics on the worksheet WITHOUT using a graphing calculator. 10 y 8 6 4 2 – 10 – 8 – 6 – 4 – 2 2 – 4 – 6 – 8 – 10 4 6 8 10 x