anonymous
  • anonymous
PLEASE HELP Your friend, Patricia, is having a hard time understanding the concept behind the domain and range of a parabola. Using complete sentences, explain the meaning of the domain and range of the graph of y = −x2 + 4x − 21 and how to find both. Keep in mind, your goal is to help Patricia understand the "concepts", not just how to use the steps.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
@ Solmyr do you know if the parabola is opening upward or downward?
anonymous
  • anonymous
no
anonymous
  • anonymous
if y = - x2 then its downward if y= + x2... then its upward note theres also parabola that opens sideways on the left or at the right

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anonymous
  • anonymous
therefore this type of parabola y = −x2 + 4x − 21 is opens upward or downward ?
anonymous
  • anonymous
it is essential to know if the parabola is opening upward or downward or sideways.. :D
anonymous
  • anonymous
Assuming your parabola is y = ax^2 + bx + c: The domain is always all real numbers... To find range, find the vertex. If it opens upward, the range will be [y-coord. of vertex, infinity) Positive 'a' opens up If it opens downward, the range will be (-infinity, y-coord. of vertex] Negative 'a' opens downward

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