From the graph, we can determine that the function f(x) is quadratic. The function f(x) is defined as:
[tex]f(x)\text{ = }x^2[/tex]
The graph of (a) 1/2 f(x):
This implies that f(x) is compressed vertically by a factor of 1/2.
Using the points:
(-4, 8) , (-2, 2), (0,0), (2,2), (4, 8)
The graph of the function using a graphing calculator is shown below:
The graph of (b) 2 f(x)
This implies that the original function was stretched vertically by a factor of 2
Using the points:
(-4, 32), (-2, 8), (0,0), (2,8), (4,32)
The graph using a graphing calculator is shown below:
The domain:
This is a set of allowable x-values
Using interval notation:
[tex](-\infty,\text{ }\infty)\text{ or All real numbers}[/tex]
The range:
This is a set of allowable y-values:
Using interval notation:
[tex]\lbrack0,\text{ }\infty)\text{ }[/tex]
