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jarptica [38.1K]
3 years ago
14

Who's good at math? i need help ASAP. *don't mind the red numbers, i think they're wrong*

Mathematics
1 answer:
shepuryov [24]3 years ago
8 0

Answer:

Seems like someone answered them, because the red writing is right, but here's the answers with explanation

Step-by-step explanation:

  • The vertex is the point at which the graph changes direction as we go from left to right.
  • Maximum means the graph is changing direction and going down, so the f(x)-values start becoming smaller. So the graph reached its maximum/highest point and dropped.
  • Minimum means the graph is changing direction and going up, so the f(x)-values start becoming bigger. So the graph reached its minimum/lowest point and started rising
  • Now the answers:
  1. Vertex is (-1,0) because if you look at the numbers for f(x) they go, 4 then 1, then 0, but instead of getting smaller they start getting bigger, so it changes as this point and goes up so <em>minimum</em>
  2. vertex is (3,44), when you look at f(x) it goes 143, then 88, then 55, then 44, then it changes and starts getting bigger so <em>minimum</em>
  3. vertex is (-4,-5) but this one is different from the first two. f(x) starts with -17 then -9, then -5, then it sort of stops and stays there, then -5 then drops and gets smaller. So it changes at x=-4 so use this point, immediately before the change and it is <em>maximum</em>
  4. Vertex is (21,500) because f(x) was getting bigger but then it changes and goes down and becomes smaller, so it is <em>maximum</em>
  5. vertex is (1.5,6) the point immediately before the change, and we see f(x) was getting smaller going down, but it changes and goes up and gets bigger so it is <em>minimum</em>
  6. vertex is (0.5,5) because it was getting big then changed and started getting smaller so <em>maximum</em>
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A picture can help.

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Then the midpoint of the short side is found to be 6 + (6/2) = 9 units to the side and 8/2 = 4 units above the opposite vertex. Hence the square of the length of that median is 9² + 4² = 97.

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