Question

The following graphs are transformations of f(x) = x^2.

Complete the boxes below to describe the transformations.


A(x) = f (x + _) + _
B(x) = f (x + _) + _
C(x) = f (x + _) + _
D(x) = f (x + _) + _

Answer 1

Explanation:

Let's look at A(x) and see how it is different from f(x)

1. it is shifted downwards by 8 units
2. it is not shifted to the left or the right

Therefore A(x) = f(x) - 8

Let's look at B(x) and see how it is different from f(x)

1. it is not shifted downwards or upwards
2. it is shifted to the left 7 units

Therefore B(x) = f(x + 7)

Let's look at C(x) and see how it is different from f(x)

1. it is shifted upwards by 4 units
2. it is shifted to right by 5 units

Therefore C(x) = f(x - 5) + 4

Let's look at D(x) and see how it is different from f(x)

1. it is not shifted downwards or upwards
2. it is not shifted to right by 12 units

Therefore D(x) = f(x - 12)