anonymous
  • anonymous
what is my teacher asking?!!! The parabola is the graph of which function? Use what you know about the parabola and vertex to help you decide. http://roads.advancedacademics.com/contentserver/content/roadssection/277548/questions/8hw1/8hw1_q9.bmp Long description: 0, -15. -1, -10. -2, -7. -3, -6. -4, -7. -5, -7. -6, -15.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
i have no idea what shes asking me to do. someone explain please.... these are my options: A. y = -2x2 + 3x + 10 B. y = x2 + 6x + 10 C. y = -x2 - 6x - 15 D. y = 2x2 + 4x + 15 what does that graph have to do with any of these equations?
jim_thompson5910
  • jim_thompson5910
In general, the equation y = a(x-h)^2 + k has the vertex (h,k) and it opens down if a < 0 In our case, the vertex is (-3, -6). So h = -3 and k = -6 This means that we go from y = a(x-h)^2 + k to y = a(x-(-3))^2 + (-6) y = a(x + 3)^2 - 6 The last thing to do is find the value of 'a'. We do this by plugging in values for x and y and solving for 'a'. Notice that the blue parabola goes through the point (-2,-7). So x = -2 and y = -7. Plug these values in and solve for 'a' y = a(x + 3)^2 - 6 -7 = a(-2 + 3)^2 - 6 -7 = a(1)^2 - 6 -7 = a(1) - 6 -7 = a - 6 -7 + 6 = a -1 = a a = -1 So the value of 'a' is a = -1 Therefore, the equation is y = -(x+3)^2 - 6 Finally, all we need to do from here is convert to standard form y = -(x+3)^2 - 6 y = -(x^2+6x+9) - 6 y = -x^2-6x-9 - 6 y = -x^2-6x-15 So the answer is choice C
anonymous
  • anonymous
I dont get it still, I suck at math. But thank you for the help.

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jim_thompson5910
  • jim_thompson5910
Which part are you stuck at?
anonymous
  • anonymous
I just dont get how to start it or anything. Especially how you changed h and k and stuff.
jim_thompson5910
  • jim_thompson5910
h and k are simply place holders So when I say that the vertex is (h,k) and that h = -3 and k = -6, this means that the vertex is (-3,-6) and when I went from y = a(x-h)^2 + k to y = a(x-(-3))^2 + (-6), all I did was replace 'h' with -3 and replace 'k' with -6 Hope that clears things up. If not, let me know. Thanks.

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