Students were inquired to answer a question at academics and to say what is most important for them to succeed. Of many results, one that that stood out was practice. Persons who commonly successful do not become successful by being born. They work hard and dedication their lives to succeeding. If you tend to reach your goals, keep this in mind! right below some question and answer examples that you would possibly work with to develop your knowledge and gain insight that will guide you to sustain your school studies.
Which of the following functions best describes this graph?
We want to see which one of the given functions describes the given graph.
The correct option is C:
y = x^2 – 9x + 18
We have a graph of a quadratic equation, the things we can see of the graph are:
- The arms of the graph open upwards, so the leading coefficient is positive.
- The y-intercept seems to be larger than 10.
- The vertex has a positive x-value and a negative y-value.
From, the second one, we can discard option D, because its y-intercept is smaller than 10, and option A because it has a negative y-intercept.
Now remember that for a general quadratic equation:
y = a*x^2 + b*x + c
the x-value of the vertex is:
x = -b/2a
Now we can compute the x-value of the vertexes of the 2 remaining options.
B) y = x^2 + 9x + 18
Then the x-value of the vertex is:
x = -9/(2*1) = -4.5
But in the graph we can see that the x-value of the vertex is positive, so we can discard this option.
C) y = x^2 – 9x + 18
x = -(-9)/(2*1) = 4.5
In this case, we got a positive x-value for the vertex, as expected.
Because of this (and because we discarded the other 3 options) we can conclude that the function that best describes the graph is the one in option C.
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