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 transcript:

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?

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

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:

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

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

 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?

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

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

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 = x x, 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?

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.