Question

Which point is a reflection of (-4,-3) across the y-axis?

O (3, 4)
O (4, -3)
O (-3,-4)
O (4,3)

Answer 1

The point after the reflection of (-4,-3) across the y-axis is:

• (4, -3)

Hence, option B is correct.

Explanation:

When a point P(x, y) is reflected across the y-axis, we reverse the sign of the x-coordinate while the y-coordinate remains the same.

Thus,

The rule to reflect a point across the y-axis is:

P(x, y) → P'(-x, y)

In our case, we are given the point (-4, -3)

Let say the point is A(-4, -3)

Thus, using the rule to reflect a point across the y-axis is:

P(x, y) → P'(-x, y)

A(-4, -3) → A'(-(-4), -3) → A'(4, -3)

Therefore, the point after the reflection of (-4,-3) across the y-axis is:

• (4, -3)

Hence, option B is correct.