1 answer:
You might be interested in
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:
Answer:
Se attached for plots and here is position of the numbers:
a. Plot 13.58 on a number line on which the long
tick marks are whole numbers.
- 13 < 13.58 < 14
b. Plot 0.193 on a number line on which the long
tick marks are tenths.
- 0.1 < 0.193 < 0.2
c. Plot 26.9999 on a number line on which the
long tick marks are thousandths.
- 26.999 < 26.9999 < 27.000
