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WARM-UP: DISCUSS WITH YOUR PARTNER

WARM-UP: DISCUSS WITH YOUR PARTNER. Consider the function y = 3 x 2 – 6 x + 2. Does the graph open up or down? Find the line of symmetry of the graph of the function. Find the vertex of the graph of the function. Find the y -intercept. Opens Up. x = 1. (1, -1). y = 2.

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WARM-UP: DISCUSS WITH YOUR PARTNER

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  1. WARM-UP: DISCUSS WITH YOUR PARTNER Consider the function y = 3x2 – 6x + 2. Does the graph open up or down? Find the line of symmetry of the graph of the function. Find the vertex of the graph of the function. Find the y-intercept. Opens Up x= 1 (1, -1) y = 2

  2. Graphing Quadratic Functions Algebra Unit 11

  3. steps To graph a quadratic function perform the following steps: STEP 1:Put equation in standard form y= ax2 + bx + c. STEP 2:Find the line of symmetry using and graph it. STEP 3: Find the vertex and plot it. STEP 4: Find two other points using a table. • Use the next two numbers after the line of symmetry for the table. • Reflect points across the line of symmetry. • Connect the five points with a smooth curve.

  4. y x modeling Graphy= 2x2 – 4x – 1. STEP 1:Put equation in standard form y= ax2 + bx + c. STEP 2:Find the line of symmetry and graph it. Already in standard form. Thus the line of symmetry is x = 1.

  5. y x modeling Graphy= 2x2 – 4x – 1. STEP 3: Find the vertex and plot it. Plug in x = 1 to find the y– value of the vertex. Thus the vertex is (1 ,–3).

  6. y x y x 2 3 modeling Graphy= 2x2 – 4x – 1. STEP 4: Find two other points using a table. Use the next two numbers after the line of symmetry for the table. (–1,5) (3 ,5) –1 5 (0,–1) (2 ,–1) Reflect points across the line of symmetry. (1 ,–3) • Connect the five points with a smooth curve.

  7. y x Structured practice Graphy= – 2x2– 8x + 1. STEP 1:Put equation in standard form y= ax2 + bx + c. STEP 2:Find the line of symmetry and graph it. Already in standard form. Thus the line of symmetry is x = – 2.

  8. y x Structured practice Graphy = – 2x2 – 8x + 1. STEP 3: Find the vertex and plot it. Plug in x = – 2 to find the y– value of the vertex. Thus the vertex is (–2, 9).

  9. y x y –1 0 x Structured practice Graphy = – 2x2 – 8x + 1. STEP 4: Find two other points using a table. Use the next two numbers after the line of symmetry for the table. (–2,9) 7 (–3,7) (–1 ,7) 1 (–4,1) (0,1) Reflect points across the line of symmetry. • Connect the five points with a smooth curve.

  10. independent practice Begin Homework: page 522 #’s 45 - 50

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