lesson 9.2 I CAN . . . -draw and label a three point graph. -graph a parabola using a table. -find the roots of a parabola from a graph. lesson 9.2

Example #1: solutions roots zeroes x-intercepts true What is a three point graph? Draw and label each of the important three points of the graph. Thinky stuff: The answers to a quadratic equation (parabola) are called: ___________________ They are numbers that make the answer to the equation __________! solutions solutions roots zeroes x-intercepts vertex true

Example #2: For each quadratic graphed below, tell how many roots it has and what the roots are. 2 1 How many roots? ______ How many roots? ______ How many roots? ______ Roots: _______________ Roots: ________________ Roots: ________________ {-3, 1} {4}

Graph each quadratic equation below using the vertex and the roots. Example #3: Graph each quadratic equation below using the vertex and the roots. a) Two roots: {–6, 2} b) Two roots: {0, 5} Vertex: (–2, 6.5) Vertex: (2.5, –2)

Example #4: Graph each quadratic equation by creating a table. Label all the parts of the parabola. a) x y –2   –1 1 2 –5 –8 –9 –8 –5

Example #4: Graph each quadratic equation by creating a table. Label all the parts of the parabola. b) x y –2   –1 1 2 –5 –8 –5

Today’s assignment 9.2 Worksheet