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What is standard form of a linear equation? What is the slope-intercept form of a linear equation? Which form do you prefer and why?

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Presentation on theme: "What is standard form of a linear equation? What is the slope-intercept form of a linear equation? Which form do you prefer and why?"— Presentation transcript:

1 What is standard form of a linear equation? What is the slope-intercept form of a linear equation? Which form do you prefer and why?

2 Before you leave today, you should be able to graph quadratic function written in standard form. CCRS: 17, 22, 24, 26, 27

3 Standard Form of a Quadratic Function f(x) = ax 2 + bx + c Maximum and Minimum If a>0, If a<0, Axis of Symmetry Y-intercept VertexX-coordinate: Y-coordinate:

4 What is the graph of y = x 2 + 2x + 3 Step 1: Identify a, b, and c Step 2: Axis of symmetry Step 3: Vertex

5 What is the graph of y = x 2 + 2x + 3 Step 4: y-intercept Step 5: Upward or Downward?

6  What is the graph of y = -2x 2 + 2x – 5 Step 1: a, b, c? Step 2: axis of symmetry Step 3: vertex Step 4: y-intercept Step 5: Up or down?

7 What is the vertex form of y = 2x 2 + 10x + 7

8 What is the vertex form of y = -x 2 +4x-5

9 The New River Gorge Bridge in West Virginia is the world’s largest steel singe arch bridge. You can model the arch with the function y = -0.000498x2 + 0.847x, where x and y are in feet. How high above the river is the arch? How long is the section of bridge above the arch?

10 Compare and contrast vertex form and standard form of a quadratic function. Which is easier? Which would you rather be given? Write at least five sentences.


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