For the following exercises, use the vertex ( h , k ) and a point on the graph ( x , y ) to find the general form of the equation of the quadratic function . ( h , k ) = ( 0 , 1 ) , ( x , y ) = ( 1 , 0 )
For the following exercises, use the vertex ( h , k ) and a point on the graph ( x , y ) to find the general form of the equation of the quadratic function . ( h , k ) = ( 0 , 1 ) , ( x , y ) = ( 1 , 0 )
For the following exercises, use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function.
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Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
The x-intercept of a quadratic function is at the point (0, c).
O True
O False
Abram-Takera owns Scylar LLC. The firm produces and sells GramFam brand The firm’s weekly profit in thousands of dollars for sweatpants is given by the function
R (s) = -2s2 + 120s – 240
where ‘s’ is the number of sweatpants sold in 1000s.
Find the number of sweatpants sales that will lead to maximum revenue.
Find the maximum revenue.
Demonstrate mathematically and briefly explain why it is possible for the firm to make lesser profit if it sells more than the number of sweatpants arrived at as answer to sub-question (a) immediately above.
form Ax) = a(x – h)² + k since the vertex (h, k) can be
seen in the equation. Since a point is not enough to graph the function, you may find the x- and
y-intercepts to be able to graph the parabola or set a table of values to get other points aside from
the vertex. It is also important to take note of the value of a in the equation to determine whether
the graph opens upward or downward.
Notice the change in the graph of the function flx) = a(x – h)² + k from the graph of Ax) = ax
whose vertex of the parabola is at (0, 0). When quadratic functions are written in their vertex form,
the vertex is at (h, k) and the axis of symmetry is x = h. The value of h represents the horizontal
shift (left or right) of the parabola from x = 0, and the value of k represents the vertical shift (up
or down) of the parabola from y = 0. Knowing these properties of the equation makes it easier to
describe and graph the given quadratic function.
"The devil is in the details" is a saying that highlights…
Introductory and Intermediate Algebra for College Students (5th Edition)
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Finding The Focus and Directrix of a Parabola - Conic Sections; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=KYgmOTLbuqE;License: Standard YouTube License, CC-BY