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Big Ideas Math Algebra 1 A Bridge to Success
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Big Ideas Math Algebra 1 A Bridge to Success View details
1. Graphing f(x) = ax^6
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Exercise 2 Page 421

The vertex is the absolute maximum or minimum of a parabola. The axis of symmetry is the vertical line that divides the graph into two mirror images.

Vertex: (- 3,7)
Axis of Symmetry: x=- 3
Domain: All real numbers
Range: y≤ 7
Behavior: When x < - 3, y increases as x increases. When x > - 3, y decreases as x increases.

Practice makes perfect
By paying close attention to the given graph, we can identify key characteristics such as the vertex, axis of symmetry, domain, range, and behavior.

From the graph we can note the following.

  • The vertex is the point (- 3,7).
  • The axis of symmetry is the vertical line x=- 3.
  • The domain is all real numbers.
  • The range is y≤ 7.
  • When x < - 3, the y-variable increases as the x-variable increases.
  • When x > - 3, the y-variable decreases as the x-variable increases.
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