Mathematics
Grade10
Easy
Question
What is the equation of this graph?
- f(x) =
+ 5 - f(x) =
+ 3 - f(x) =
- 3 - f(x) =
– 5
+ 5+ 3 - 3 – 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.
