Students were asked to answer a question at education and to express what is most important for them to succeed. The one which response stood out from the rest was practice. People who are always successful do not become successful by being born. They work hard and perseverance their lives to succeeding. If you tend to reach your goals, keep this in mind! shown below are one of the answer and question example that you would certainly utilize to practice and enriches your understanding and also give you insights that might help you to maintain your study in school.
Which equation could generate the curve in the graph below? y = –2×2 + 3x – 5 y = –2×2 – 4x – 2 y = –2×2 – 16x– 28 y = –2×2 +16x –28
In order to find which equation could generate the curve, we can take each option and verify if delta if greater than zero because we have 2 intersection points with OX and if those intersection points are both negative (the intersection point are the solution of the equation).
First option: delta = 3^2-4*(-2)*(-5) = 9-40<0 not a good option
Second option: delta = 4^2-4*(-2)*(-2) = 16-16=0<0 not a good option
Third option: delta = 16^2-4*(-2)*(-28) = 256-224 = 32
x1,2 = (16+-√32)/(-4) = -4-+√2
Both values are negative and delta<0 so this is a good solution.
Fourth option: delta = 16^2-4*(-2)*(-28) = 256-224 = 32
x1,2 = (-16+-√32)/(-4) = 4-+√2. Just one solution is negative the other one is positive. Not a good solution.
The final equation is:
y = –2x^2 – 16x– 28
From the answer and question examples above, hopefully, they can potentially help the student take care of the question they had been looking for and keep in mind of every detail stated in the answer above. Then would possibly carry out some sharing in a group discussion and also learning with the classmate concerning the topic, so another student also ought to have some enlightenment and still keeps up the school learning.