Do Now: Solve the equation in the complex number system.

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Do Now Solve the equation in the complex number
system.
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Academy Algebra II/Trig

• 4.3 Quadratic Functions Their Properties
• HW tonight p.303-304 (60-62, 81, 86)
• HW tomorrow
• p.302-304 (40, 43, 48, 54-55, 87 )

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Graphing a quadratic in standard form.

• Standard form
• Shape parabola
• Opens up a is positive
• Opens down a is negative
• Has a vertical line of symmetry through the
  vertex.

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Graphing a quadratic in standard form.

• Standard form
• Find the vertex (x, y)
• X-coordinate
• Determine the axis of symmetry
• Find the y- and x-intercepts.
• Plot points and sketch parabola. (Optional
  choose additional x values and find more
  coordinates.)

5
Determine, without graphing, whether the given
quadratic has a minimum or maximum value and then
find the value.
6
Graph using its vertex, axis of symmetry, and
intercepts. Determine the domain and range and
determine where the function is increasing and
decreasing.
7
Graph using its vertex, axis of symmetry, and
intercepts. Determine the domain and range and
determine where the function is increasing and
decreasing.
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Graph using its vertex, axis of symmetry, and
intercepts. Determine the domain and range and
determine where the function is increasing and
decreasing.
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Graphing a quadratic in vertex.

• Vertex form
• Find the vertex (h, k)
• Determine the axis of symmetry
• Find the y- and x-intercepts.
• Plot points and sketch parabola.

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Graph using vertex form. Determine the domain and
range and determine where the function is
increasing and decreasing.
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Graph using vertex form. Determine the domain and
range and determine where the function is
increasing and decreasing.
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Extension Determine the quadratic function with
vertex (-1, -2) and y-intercept (0, -1).
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ExtensionDetermine the quadratic function with
vertex (1, -3) and passes through (3, 5).
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Graphing a quadratic in intercept form. (not in
your book ? )

• Intercept form
• In this form the quadratic is already factored,
  so you can replace f(x) with zero and solve the
  equation to find the x-intercepts.
• X-coordinate of vertex average x-intercepts.