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let f(x)=x^2 and g(x)=(x-3)^2+7 match up the correct transormations that are needed to transform the graph of f(x) to the graph of g(x).


Horizontal translation of


Vertical translation of


3 units right

7 units up

3 units left

Respuesta :

The transformations are vertical translation 7 units up.horizontal translation 3 units to the left

We have given that the equations

let f(x)=x^2 and g(x)=(x-3)^2+7

We have to determine the correct transformation,

What is the vertical translation?

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.

Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.

Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.

To learn more about the transformation visit:

https://brainly.com/question/2689696

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