Mathematics

Grade10

Easy

Question

# What is the equation of this graph?

- f(x) = + 5
- f(x) = + 3
- f(x) = - 3
- f(x) = – 5

Hint:

### Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

## The correct answer is: f(x) = + 3

### Here, we have to find the equation of the given graph.

Here, f(x) = has shifted 3 units up and 5 units to the right.

3 units up means: output (f(x)) increased by 3 units

5 units to the right: input (x) decreased by 5 units

So, f(x) = + 3

As we can see, the graph passes through (4, 2).

2 = + 3

k = 1

Equation: f(x) = + 3.

Hence, the correct option is D.

There are many ways to transform a graph such as vertical translation, vertical stretch, horizontal translation and horizontal stretch.