A coat the usually cost $123 is marked 1/3 off. What is the sales price of the coat?
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Transformation of Reflect image over the y axis for this equation (x ,y)->(x +6,y -3) is (3, -1)
Reflecting point (-6,1) on y = x
gives (1, -6)
Translating, (1, -6) by 2,5 is
(1 + 2, - 6 + 5) = (3, - 1)
Therefore, reflect image over the y axis translate by rule (x ,y)->(x +6,y -3) is (3, - 1)
transformation :A function, f, itself is called the transformation, i.e., f: X → X. After the transformation the pre-image X becomes the image X. This transformation can be any part or the mixture of operations such as translation, reflection, rotation and dilation. The translation is working a function in a particular direction, rotation is rotate the function to a point, reflection is the mirror image of the function, and dilation is the ascend of a function.
Translation, rotation, reflection, and dilation are the four most prevalent types of transformations. From the transformation, we have a rotation about any point, reflection over any line, and translation along any angle. The picture is congruent to its pre-image in these stiff transformations.. They are also called as isometric transformations. Dilation is performed at about any point of angle and it is non-isometric.
Rules for Transformations
Consider a function f(x). On a coordinate grid, we use the x-axis and y-axis to check the movement. Here are the rules for transformations of function that could be applied to the all graphs of functions. Transformations can be shown algebraically and graphically. Transformations are commonly found in algebraic functions. We can use the formula of transformations in graphical functions to obtain the graph just by transforming the fundamental or the parent function, and thereby move the graph around, rather than tabulating the coordinate values. We can visualize and learn algebraic equations with the aid of transformations.
Formula of Transformations
Let us consider the graph f(x) =
Suppose we have need to graph f(x) = -3, we shift the vertex 3 units down.
Suppose we have need to graph f(x) = 3 + 2, we shift the vertex two units above and extend vertically by 3 factor
Suppose we have need to graph f(x) = 2(x-1)^2, we shift the vertex one unit to the right and extend vertically by 2 factor
Thus, we know the formula of transformations as
f(x) =a(bx-h) n + k
where k is the vertical shift,
h is the horizontal shift,
a is the vertical stretch and
b is the horizontal stretch
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Answer:
Step-by-step explanation:
The given expression is
The exponent property
Applying this exponent property, we have
Now, the given numeric values are x = 9, y= 8, and z= 16
On substituting these values in the simplified expression, we get
This can be further simplified by writing
Now, applying the product rule of exponent: