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?

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koraimagomez2005 koraimagomez2005

05-02-2021
Mathematics

Answered

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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?

Sagot :

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trihext trihext · Answer 1 · 2021-02-05T23:14:11-05:00

Answer: (9, -2)

Step-by-step 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.

Sagot :

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