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In this course, we'll begin to

explore "opposite" function types. For example, think about
a quadratic function and its key features. What key features do you think its opposite
function will have? Why?

User Sz Ppeter
by
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Answer: You could say something like this ''I think the opposite function of a quadratic function would have an inverted parabolic curve that always opens upwards, since a quadratic function can open upwards or downwards. It would also have a single maximum or minimum point, depending on the coefficient of the quadratic term, since a quadratic function has a single vertex. Finally, the opposite function would have either no real roots or two real roots with opposite signs, depending on the discriminant, since a quadratic function can have either two distinct real roots or two complex roots.''

User Terje Norderhaug
by
8.1k points
1 vote

Answer:

Some key features quadratic functions have are:

  • Axis of symmetry
  • x and y-intercepts
  • Zeroes
  • vertex
  • Point symmetric to y-intercept

Explanation:

User Michael Krebs
by
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