Match each description to its example. 1. (2, -3) → (-3, 2) reflection across both axes
2. (2, -3) → (2, 3) reflection across the x-axis
3. (2, -3) → (-2, -3) not a reflection
4. (2, -3) → (-2, 3) reflection across the y-axis

(2, -3) → (2, 3) reflection across the x-axis

(2, -3) → (-2, -3) reflection across the y-axis

(2, -3) → (-2, 3) reflection across both axes

(2, -3) → (-3, 2) not a reflection

Step-by-step explanation:

Reflection across the x-axis:

When we reflect a point across the x-axis, it's x coordinate keeps the same value, while the signal of the y-coordinate is changed, having the same value, with different signal.

So the correct option is:

(2, -3) → (2, 3) reflection across the x-axis

Reflection across the y-axis:

When we reflect a point across the y-axis, it's y coordinate keeps the same value, while the signal of the x-coordinate is changed, having the same value, with different signal.

So the correct option is:

(2, -3) → (-2, -3) reflection across the y-axis

Reflection across both axis:

Both change the signal. So

(2, -3) → (-2, 3) reflection across both axes

Rotations:

When we have a rotation, not only the signals can change, but also the numbers, x with y and y with x. Rotations are not reflections. So

(2, -3) → (-3, 2) not a reflection

its kind of blurry. can you put a clearer pic?

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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