Answer:
a) g(x) = f(x) + 3
So g(x) is a vertical translation of f(x), 3 units upwards
b) g(x) = 3x² - 1 + 3
g(x) = 3x² + 2
The graph has shifted 3 units upwards, so has the vertex.
The vertex of f is (0,-1)
Whereas the vertex of g is (0,2)
-1 + 3 = 2
The type of graph I would use for a set of categorical data with 25 people surveyed is bar graph.
<h3>Which types of graphs are good for categorical data?</h3>
The type of graph or chart that is good for showing categorical data are:
- Frequency tables
- Pie charts
- Bar charts
Note that bar graph is one of the the most appropriate graphical form of displays for any categorical variables.
Learn more about bar graph from
brainly.com/question/24741444
If it is to match 3+1 which is 4 the value to satisfy X is -1
