2 SLO preIB1 Short Test 19a June 5, 2025
1. [4 points]
The line y = − 12 x + 1 is reflected in the line y = x. Sketch both lines and write down the equation of the
new line in the gradient-intercept form.
x
−4 −3 −2 −1 1 2 3 4
−1
−2
−3
−4
2. [2 points]
2
Find the unit vector in the opposite direction to vector ⃗v =
−3
2 SLO preIB1 Short Test 19a, page 2 of 3 June, 2025
3. [6 points]
√
−2
The curve y = x is translated by the vector ⃗v = and then reflected in the line y = 1. Sketch the
−1
curve and its image after reflection. Find the equation of the new curve.
x
−4 −3 −2 −1 1 2 3 4
−1
−2
−3
−4
2 SLO preIB1 Short Test 19a, page 3 of 3 June, 2025
3. [6 points]
√
−2
The curve y = x is translated by the vector ⃗v = and then reflected in the line y = x. Sketch the
1
curve and its image after reflection. Find the equation of the new curve.
x
−4 −3 −2 −1 1 2 3 4
−1
−2
−3
−4