anonymous
  • anonymous
Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing, and the end behavior when the following changes are made. Make sure to account for even and odd functions. •When f(x) becomes f(x) − 3 •When f(x) becomes −2 ⋅ f(x)
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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mathmale
  • mathmale
If you have in front of you the graph of a function f(x), and then you move the whole graph downward 3 units, what happens? Please answer the questions in the original problem statement.
anonymous
  • anonymous
mathmale can you please help me i'm lost
anonymous
  • anonymous
I don't know what you mean

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mathmale
  • mathmale
Why not graph y=x^2, and then move the whole graph downward 3 units. What happens to the y-intercept? Does anything else about the graph change?
anonymous
  • anonymous
does the graph become negative and decrease in the y-intercept
mathmale
  • mathmale
If you begin withthe graph of y=x^2 and then move the whole graph downward 3 units, then you have the graph of y=x^2-3. This is a simple vertical translation. Have you actually tried doing this?
mathmale
  • mathmale
"decrease in the y-intercept" is correct. Anything else change? The vertex of y=x^2 was at (0,0); now it's at (0,-3). What happens to the horizontal intercept(s)?
anonymous
  • anonymous
yes
anonymous
  • anonymous
the graph moves over to the left 3 units?
mathmale
  • mathmale
I've asked you to move the whole graph of y=x^2 downward 3 units, so no, the graph would not move to the left.
mathmale
  • mathmale
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mathmale
  • mathmale
Please compare these two graphs. Does the y-intercept change? Does the x-intercept (or do the x-intercepts) change? does anything else change from the first graph to the second?
mathmale
  • mathmale
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mathmale
  • mathmale
How are you doing, Deanna? You OK?
mathmale
  • mathmale
If you need to leave in the middle of a convesation, won't you please let me know?

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