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# Horizontal Translation: y=(x-4)^2 Read below

[From: ] [author: ] [Date: 12-09-28] [Hit: ]
The question I am trying to solve says: For each function, identify the horizontal translation of the parent function f(x)=x^2. Then graph the function.I need to know how to graph this. I know its like a curved line on a graph, but I honestly cannot figure out how to do this.......
I have no idea how to do this. In my algebra II book there is no example how to do it. The question I am trying to solve says: For each function, identify the horizontal translation of the parent function f(x)=x^2. Then graph the function. y=(x-4)^2
I need to know how to graph this. I know it's like a curved line on a graph, but I honestly cannot figure out how to do this. Please help by solving or give me a link to a page that can help. Thanks!

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When there is a quantity of x (such as x-4) squared, the number inside the parentheses with x is the horizontal translation. If the number inside is negative, the entire graph moves to the right. If it's positive, it moves to the left. In this case, x-4 means the graph moves 4 units to the right. So, the vertex of the parabola will be at (4, 0). The two points nearest to it will be (3, 1) and (5, 1), then (2, 4) and (6, 4), and so on like a normal graph.

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4 units to the right
1