Write the equation of a line that is perpendicular to the given line and that passes through the given point.
y – 3 = eight-thirds(x + 2); (–2, 3)
y + 3 = –three-eighths(x – 2)
y + 3 = – Image with alt text: three-eighths ( x – 2)
y – 3 = –three-eighths(x + 2)
y – 3 = – Image with alt text: three-eighths ( x + 2)
y – 2 = –three-eighths(x + 3)
y – 2 = – Image with alt text: three-eighths ( x + 3)
y + 3 = three-eighths(x – 2)
y + 3 = three-eighths(x - 2)
Below are the functions of y = |x| and y = |x| – 5. How are the functions related?
Two absolute value graphs are shown.Two absolute value graphs are shown. The first passes through the points left parenthesis negative 5 comma 5 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 5 comma 5 right parenthesis. The second passes through points left parenthesis negative 5 comma 0 right parenthesis, left parenthesis 0 comma negative 5 right parenthesis, and left parenthesis 5 comma 0 right parenthesis.
(1 point)
Responses
The functions have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second function is 5.
The functions have the same shape. The y -intercept of y = | x | is 0, and the y -intercept of the second function is 5.
The functions have the same y-intercept. The second function is steeper than y = |x|.
The functions have the same y -intercept. The second function is steeper than y = | x |.
The two functions are the same.
The two functions are the same.
The functions have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second function is –5.
The functions have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second function is 5.
Describe how the graphs of y equals start absolute value x end absolute value and y equals start absolute value x plus 2 end absolute value are related.
(1 point)
Responses
The two graphs have the same shape but the second graph is shifted 2 units right.
The two graphs have the same shape but the second graph is shifted 2 units right.
The two graphs have the same shape but the second graph is shifted 2 units up.
The two graphs have the same shape but the second graph is shifted 2 units up.
The two graphs have the same shape but the second graph is shifted 2 units left.
The two graphs have the same shape but the second graph is shifted 2 units left.
The two graphs have the same shape but the second graph is shifted 2 units down.