Question

Quick algebra 1 question 25 points!

Only answer if you know the answer, quick shout-out to subtomex0, tysm for the help!

Answer 1

1. Translate 5 units up (Fixed after a comment from subtomex0 - Thanks again!)

2. Vertical Compression by a scale factor of 3/8

3. Reflect across the y-axis, and shift 2 units to the left

4. Vertical stretch by a scale factor of 6, and shifting 1 unit up

5. Shifting 11 units to the left

6. Vertical stretch by a scale factor of 8

7. Vertical compression by a scale factor of 1/2, and reflection across the y-axis.

Answer 2

1)

y=x+5 is a linear function that is strictly increasing over the interval ] -∞,∞ [ . This line passes through the y-intercept at ( 0 , 5 ). Projecting the line along y=x would yield another line that passes through a mirrored point across origin, ( 0 , -5 ). So our transformation would become y=x-5

2)

y=3/8 x is a function for which there exists a ratio of 1 : 3/8 of y : x . Transforming the set of points of this line would only yield a line of equation of ratio 3/8 : 1 of y : x suggesting that 3/8 y=x or y=8/3 x

3)

y=-x-2 is a linear function that is strictly decreasing over the interval ] -∞,∞ [ . This line passes through the y-intercept at ( 0 , -2 ). Projecting the line along y=x would yield the same line since it is already symmetric wrt y=x, y^-1=-x-2