The graphs of g and h are given in red and blue, respectively

  • Thread starter Niaboc67
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In summary, the conversation is about a given function g(x) and the attempt at finding another function h(x) by manipulating the given function. After some discussion and a suggestion to use a graphing calculator or Google, it is determined that the correct function is h(x) = -(x-5)^2 - 1.
  • #1
Niaboc67
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Homework Statement



http://imgur.com/U3NBDS7

The Attempt at a Solution


g(x) = x^2

(x-5)^2

(-1)*(x-5)^2

(-1)*(x-5)^2 - 2 = h(x)

h(x) = -(x-5)^2 - 2

Does this look correct to you?
 
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  • #2
Looks good :biggrin:

If you wanted to check you could always use a graphing calculator or copy and paste your function " -(x-5)^2 - 2" into Google in case there's more you wanted to check in the future.
 
  • #3
Hmmm i typed that into google the graphs looked nothing alike?
 
  • #4
Are you sure it isn't h(x) = -(x-5)^2 - 1?
 
  • #5
You are right, the graph is hard to see, also look at the scale when you type into google, it is 300-(-300). zoom in xD
 

FAQ: The graphs of g and h are given in red and blue, respectively

1. What do the red and blue colors represent on the graphs of g and h?

The red and blue colors represent the two separate functions, g and h, that are being graphed. The colors are used to distinguish between the two functions for visual clarity.

2. How can I interpret the relationship between the red and blue graphs on the graph?

The relationship between the red and blue graphs can be interpreted by looking at where the two lines intersect or where they are parallel. The points of intersection indicate where the two functions have the same output value, while parallel lines suggest that the functions have a constant rate of change.

3. Can I determine the equations for g and h based on their respective graphs?

Yes, the equations for g and h can be determined by analyzing the slope and y-intercept of their respective graphs. The slope of a line can be found by calculating the change in y over the change in x, and the y-intercept is where the line crosses the y-axis.

4. Are there any similarities or differences between the shape of the red and blue graphs?

Yes, there may be similarities or differences between the shape of the red and blue graphs depending on the functions being graphed. For example, both graphs may be linear, but one may have a steeper slope than the other.

5. How can I use these graphs to make predictions or draw conclusions?

These graphs can be used to make predictions or draw conclusions by analyzing the patterns and relationship between the two functions. By looking at the trends in the graphs and the points of intersection, one can make predictions about future values or draw conclusions about the behavior of the functions.

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