Mathematics
Grade10
Easy
Question
Which of the following represents the graph?
- f(x) =
– 2 - f(x) =
+ 2 - f(x) =
+ 3 - f(x) =
+ 3
– 2 + 2 + 3 + 3
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 2 units to the left.
3 units up means: output (f(x)) increased by 3 units.
2 units to the left: input (x) increased by 2 units.
So, f(x) = + 3.
Hence, the correct option is C.
There are many ways to transform a graph such as vertical translation, vertical stretch, horizontal translation and horizontal stretch.
