anonymous
  • anonymous
Functions f(x) and g(x) are described as follows: f(x) = −5x2 + 9 x g(x) 0 0 1 4 2 8 3 4 4 0 Which statement best compares the maximum value of the two functions? It is equal for both functions. It is 3 units higher for f(x) than g(x). It is 3 units lower for f(x) than g(x). It is 1 unit higher for f(x) than g(x).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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freckles
  • freckles
Well have you found the max values of both functions?
freckles
  • freckles
f is already in vertex form
anonymous
  • anonymous
no i havent.

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More answers

freckles
  • freckles
\[f(x)=a(x-h)^2+k \\ \text{ if } a \text{ is negative then } k \text{ is a \max} \\ \text{ if } a \text{ is positive then } k \text{ is a \min}\]
freckles
  • freckles
And for g you just have to look for which g(x) value is the highest and that is the max
anonymous
  • anonymous
I am very confused i am just learning this stuff.
freckles
  • freckles
compare the following two things: \[f(x)=a(x-h)^2+k \\ f(x)-5(x-0)^2+9\] is there anyway you can determine what k is
freckles
  • freckles
everything is lined up where it should be a is -5 h is 0 k is...
anonymous
  • anonymous
9?
freckles
  • freckles
yes
freckles
  • freckles
now followed what I said above
freckles
  • freckles
since a is negative then k is a max
freckles
  • freckles
you did have a is -5 so k=9 is your max
freckles
  • freckles
9 is the max value of f
freckles
  • freckles
can you look at your list of g(x) values and just say what the highest number is listed there
anonymous
  • anonymous
8?
freckles
  • freckles
yes so the max of g is 8
freckles
  • freckles
are you able to answer the question now?
anonymous
  • anonymous
SO the answer is c?
freckles
  • freckles
so you think 9 is 3 units less than 8?
anonymous
  • anonymous
OH
anonymous
  • anonymous
Its D.
freckles
  • freckles
yes 9 is one more than 8
freckles
  • freckles
if you don't know the vertex form of a parabola you could graph the function given to you next time and just go to the peak of the mountain and find the highest y value there
anonymous
  • anonymous
Can you help with 1 more?
freckles
  • freckles
I can try
anonymous
  • anonymous
Mary wants to hang a mirror in her room. The mirror and frame must have an area of 7 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x? Square with an inner frame with height of 2ft on the left frame and width of 3ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x. x2 + 14x − 2 = 0 2x2 + 10x − 7 = 0 3x2 + 12x − 7 = 0 4x2 + 10x − 1 = 0
anonymous
  • anonymous
let me get the graph
anonymous
  • anonymous
http://prntscr.com/87afn6
freckles
  • freckles
|dw:1440176060259:dw|
freckles
  • freckles
ok so the area of that whole thing given is 7 ft^2
freckles
  • freckles
|dw:1440176151768:dw| what is the height of the rectangle?
freckles
  • freckles
I put black boxes around the numbers you might think interesting when answering that question
anonymous
  • anonymous
So the answer is A.
freckles
  • freckles
Did you want to try to figure out the height of the rectangle?
freckles
  • freckles
Or did you want to guess at the choices of your question?
anonymous
  • anonymous
please don't be rude. I thought that was the answer.
freckles
  • freckles
I wasn't being rude. You were ignoring my question.
anonymous
  • anonymous
I was not.
freckles
  • freckles
but you never answered my question...
anonymous
  • anonymous
Its 2x^2
freckles
  • freckles
the total height is x+2+x or 2x+2 |dw:1440176571442:dw|
freckles
  • freckles
can you find the base length of the rectangle
freckles
  • freckles
|dw:1440176598630:dw|
anonymous
  • anonymous
3x?
freckles
  • freckles
try again
freckles
  • freckles
|dw:1440176627302:dw|