The triangle shown on the graph above is rotated 90 degrees clockwise about the original to form triangle P’Q’R which of the fol
lowing are the (x,y) coordinates of the point P’
1 answer:
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Answer:
Option A) The function is even because it is symmetric with respect to the y-axis.
Step-by-step explanation:
We are given a graph of the function.
We can see that the given function is symmetric around the y axis as the y axis acts as a mirror.
Symmetry around y-axis
- The y-axis acts as the line of symmetry for the given graph.
- A graph is said to be symmetric about the y axis if (a,b) is on the graph, then we can find the point (-a,b) on the graph as well.
Even Function:
- A function is said to be even if
- A function f is even if the graph of f is symmetric with respect to the y-axis
Odd function:
- A function is said to be odd if
- A function f is even if the graph of f is symmetric with respect to the x-axis.
Thus, we can write that the given function is an even function as the the graph is symmetric to the y-axis.
Option A) The function is even because it is symmetric with respect to the y-axis.