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Question 8

An even function g has the point (-9,-2) on its graph.
What are the coordinates of another point on the graph of g?

Question 8 An even function g has the point (-9,-2) on its graph. What are the coordinates-example-1
User Nick Lewis
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1 Answer

1 vote

Answer: (9, -2)

Explanation:

Let's start with what makes a function even. A function is even if the graph of it is symmetric about the y-axis. What is really means is that if you were to fold your graph paper where the crease is on the y-axis, the graph should be the same on each side.

Now since g is an even function, it's correct for us to assume that it is symmetric about the y-axis. What this means is that we expect to find a value at the same point, except on the right side (because our coordinate is negative).

Our coordinate is (-9, -2). If we were to plot it, we'd see it would be in the 3rd quadrant, or the bottom left one. To be symmetrical on the right side, we know there is a point with the same coords in the 4th quadrant. To be on the right, our x coordinate would be positive, and our y coordinate will stay the same.

User Clayton Rabenda
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