Question

The shape of a heart is reflected across the x-axis. If the point at the bottom of the heart for the original figure is at (3 1/4,7 1/2) , what are the coordinates for the point at the bottom of the heart in the reflected image? (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

When a point (x, y) is reflected across the x-axis, the x-coordinate remains the same and the y-coordinate changes sign.

In this case, the original point at the bottom of the heart is (3 1/4, 7 1/2).

The x-coordinate remains the same at 3 1/4.

The y-coordinate changes sign from positive to negative, so 7 1/2 becomes -7 1/2.

Therefore, the coordinates for the point at the bottom of the heart in the reflected image are (3 1/4, -7 1/2).

Answer 2

try again

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the incorrect response.

When a point (x, y) is reflected across the x-axis, the x-coordinate remains the same and the y-coordinate changes sign.

In this case, the original point at the bottom of the heart is (3 1/4, 7 1/2).

The x-coordinate remains the same at 3 1/4.

The y-coordinate changes sign from positive to negative, so 7 1/2 becomes -7 1/2.

Therefore, the coordinates for the point at the bottom of the heart in the reflected image are (3 1/4, -7 1/2).

Answer 4

try again

Answer 5

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion. Let's try again.

If the point at the bottom of the heart in the original figure is (3 1/4, 7 1/2), the reflected image across the x-axis will have the same x-coordinate and the y-coordinate will change sign.

Since the x-coordinate remains the same, the x-coordinate of the reflected point is also 3 1/4.

To find the y-coordinate of the reflected point, we change the sign of the y-coordinate of the original point. The original y-coordinate is 7 1/2. Changing the sign gives us -7 1/2.

Therefore, the coordinates for the point at the bottom of the heart in the reflected image are (3 1/4, -7 1/2).