Question

1. # Which Phrase Best Describes The Translation From The Graph Y = 6X2 To The Graph Of Y = 6(X + 1)2?

We’ve all been there: staring at a graph, trying to figure out how it works. For those of us who are not math whizzes, it can be an intimidating experience. But the truth is, understanding graphs is easier than you think! Let’s take a look at one example: the translation from the graph y = 6×2 to the graph of y = 6(x + 1)2. We can describe this transformation as a horizontal shift of one unit to the right. In this blog post, we will explore what this phrase means and how it applies to graphing in general. Read on to learn more about graphing and its various translations!

## The translation from the graph Y = 6X2 to the graph of Y = 6(X + 1)2 is a shift to the right

The translation from the graph Y = 6X2 to the graph of Y = 6(X + 1)2 is a shift to the right. This can be seen by looking at the equation for each graph. For Y = 6X2, the X value is squared, whereas for Y = 6(X + 1)2, the (X + 1) value is squared. This means that for every X value on the first graph, there will be an (X + 1) value on the second graph that is one unit higher. Therefore, the second graph is shifted to the right by one unit.

## The translation from the graph Y = 6X2 to the graph of Y = 6(X + 1)2 is a shift up

When we translate a graph, we are essentially shifting it around on the coordinate plane. In the case of Y = 6X2 to Y = 6(X + 1)2, we are shifting the graph up. This can be seen by looking at the equation itself–we are adding 1 to every X value. So, when we plot these points on the coordinate plane, they will be shifted up from where they would be if we were graphing Y = 6X2.

## The translation from the graph Y = 6X2 to the graph of Y = 6(X + 1)2 is a rotation

The graph of Y = 6(X + 1)2 is a rotation of the graph of Y = 6X2. The translation from the graph of Y = X to the graph of Y = (X + 1) is a reflection in the y-axis.

## The translation from the graph Y

1. The translation from the graph Y = X to the graph of Y = (X + ) is a shift of the graph to the right by units. This can be seen in the equation, where the ‘s’ represents the shift.

2. Have you ever wondered how to translate a graph from one equation to another?

Well, the answer may be simpler than you think!

Let’s take a look at the equation Y = 6X2 and how it translates to the equation Y = 6(X + 1)2.

The phrase that best describes the translation is “shifting the graph up one unit”.

That’s because when we look at the two equations, they are essentially the same, with the only difference being the “X + 1” part of the second equation.

This “X + 1” essentially shifts the graph up one unit, thus changing the equation from Y = 6X2 to Y = 6(X + 1)2.

Now you may be wondering how this “shifting the graph up one unit” looks like in graph form.

Well, let’s take a look!

The original graph of Y = 6X2 looks like this:

Whereas the graph of Y = 6(X + 1)2 looks like this:

See the difference?

The graph of Y = 6(X + 1)2 shifts the original graph of Y = 6X2 up one unit.

And that’s the phrase that best describes the translation from the graph of Y = 6X2 to the graph of Y = 6(X + 1)2: shifting the graph up one unit.

We hope this has been helpful in understanding how to translate a graph from one equation to another!