Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)? OA X=-9 OB. Oc y=-9 D. y=-4
1 answer:
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Use completing the square:
Ex:
Now apply to your problem.
First factor out the '4' in front of the 'x^2' term
Apply completing the square:
![y = 4(x^2 + \frac{7}{4}x +(\frac{7/4}{2})^2 -(\frac{7/4}{2})^2) \\ \\ y = 4[(x^2 + \frac{7}{4}x+\frac{49}{64}) - \frac{49}{64} ] \\ \\ y = 4(x + \frac{7}{8})^2 - \frac{49}{16}](https://tex.z-dn.net/?f=y%20%3D%204%28x%5E2%20%2B%20%5Cfrac%7B7%7D%7B4%7Dx%20%2B%28%5Cfrac%7B7%2F4%7D%7B2%7D%29%5E2%20-%28%5Cfrac%7B7%2F4%7D%7B2%7D%29%5E2%29%20%5C%5C%20%20%5C%5C%20y%20%3D%204%5B%28x%5E2%20%2B%20%5Cfrac%7B7%7D%7B4%7Dx%2B%5Cfrac%7B49%7D%7B64%7D%29%20-%20%5Cfrac%7B49%7D%7B64%7D%20%5D%20%5C%5C%20%20%5C%5C%20y%20%3D%204%28x%20%2B%20%5Cfrac%7B7%7D%7B8%7D%29%5E2%20-%20%5Cfrac%7B49%7D%7B16%7D)
Ex:
Now apply to your problem.
First factor out the '4' in front of the 'x^2' term
Apply completing the square: