The graph that is made up of two straight lines, which has an absolute maximum or absolute minimum, and is symmetric belongs to
the
function family.
function family.
1 answer:
Answer:
This may be a function of the absolte value family.
f(x) = IxI.
f(x) = x if x ≥ 0
f(x) = -x if x ≤ 0
Where this is the parent function, and the graph is shown below in green.
If the coefficient is positive, then the lines open upwards, and we will have a minimum (in this case, when x = 0).
And also in this case, we have symmetry around the value x = 0.
Now, the vertex can also be an absolute maximum if the coefficient is negative, like in the example shown below in color blue (the equation for the blue graph is f(x) = -3*IxI )
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The vertex of the parabola is (1, 2), focus of the parabola is (-2, 2), and directrix x = 4.
<h3>What is a parabola?</h3>It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a parabola equation:
The standard form of the parabola:
(h, k) is the vertex of the parabola and (f, k) is the focus.
h = 1, k =2, and f = -2
The directrix is x = 4
Thus, the vertex of the parabola is (1, 2), focus (-2, 2), and directrix x = 4.
Learn more about the parabola here:
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