Question

Question 6.

Graph each function. How is each
graph a translation of f(x)=x²?
y = (x - 3)²
f(x) is translated ____

Answer 1

f(x) is translated to the right by 3 units

Explanation:

Basically every quadratic function can be written in its vertex form, y=a(x-h)²+k and a,h and k determine its translation. The function given is y = (x - 3)². In comparison to its base form, f(x) is translated to the right by 3 units .

Answer 2

f(x) is translated 3 units to the right

Explanation:

Graphing f(x) = x²

To graph f(x) = x², we can start by making a table of values.

We can get coordinate by substitution of x and solving for f(x).

Then, we can plot the points on a coordinate plane and connect them with a smooth curve.

Similarly

Graphing f(x) = (x-3)²

To graph f(x) = (x-3)², we can start by making a table of values.

We can get coordinate by substitution of x and solving for f(x).

Then, we can plot the points on a coordinate plane and connect them with a smooth curve.

From the graph we observed that the vertex of y = (x-3)² is 3 units to the left than f(x) = x².

So, f(x) is translated 3 units to the right.