6 2 need help on this asap
2 answers:
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Given:
Line A:
Line B:
Line C:
Line D:
To find:
Which lines are perpendicular
Solution:
General equation of a line:
y = mx + c
where m is the slope and c is the y-intercept.
Slope of line A =
Slope of line B =
Slope of line C = 2
Slope of line D =
<em>Two lines are perpendicular if their slopes are negative reciprocal of one another.</em>
Negative reciprocal of is 2.
Therefore line B and line C are perpendicular lines.
Answer:
The graph of the functions moves 4 units right, 3 units up stretches vertically by a factor of 3 and reflects horizontally.
Step-by-step explanation:
In order to find the function transformations, we must first determine what the base function is:
Next, we need to determine how the function is being affected by the transformations.
When the graph of the function moves 4 units right, we mus subtract 4 units from x, so the function looks like this then:
If we need to stretch it vertically by a factor of 3, we need to multiply the function by 3:
If we need to reflect it horizontally, then we turn the 3 into a negative so we get:
And finally, if we wanted to move the graph up by 3 units, then we need to add 3 units to the whole graph, so we get:
in the attached picture you will be able to see the graph of the base function with all the transformations.
