HEEELP ASAP ITS DUE SOON AND ITS TIMED ILL GIVE BRAINLIEST AND LOTS OF POINTS
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Answer:
vertex is (6 , -9)
points are (9,0) and (3,0)
Step-by-step explanation:
Given quadratic function
We have to plot the given quadratic function.
Consider the Given quadratic function
The general form of quadratic function is given
Where, (h, k) is vertex , given and
Thus, for given quadratic function
a = 1 , b= -12 , c = 27
Thus,
that is f(12) = (6)^2 - 12× 6 +27 = 36 - 72 + 27 = - 9
Thus, given quadratic function in standard form is
Thus, vertex is (6 , -9)
For second point put , we get,
Thus, and
thus, points are (9,0) and (3,0)
Graph is attached below.
<h2>Part 1)</h2>
Let's analyze each part of the function:
FROM x = 0 TO x = 5:
We can find the equation of this line by using The Slope-Intercept Form of the Equation of a Line, that states:
So the y-intercept here is and
, therefore:
FROM x = 0 TO x = 5:
From the previous line, we know that at the output is:
So the point lies on both lines.
For this new line, the slope is
So, with the Point-Slope Form of the Equation of a Line we can find the equation of this other line:
So:
The graph is shown below.
<h2>Part 2)</h2>The graph of the linear function is a line with slope
and
at
. From the items, we can assure that the following equations are linear functions:
In conclusion, the other functions are nonlinear and they are: