Number 7 is the x axis 11 is (4,2)
Reflections are a type of transformation that move an entire curve such that its mirror image lies on the other side of the x or y axis.
A vertical reflection is given by the equation y=−f(x) and results in the curve being "reflected" across the x-axis. A horizontal reflection is given by the equation y=f(−x) and results in the curve being "reflected" across the y-axis.
Reflection is one of the four basic rigid motions.
Four basic rigid motions:
1.Reflection
2.Glide Reflection
3.Rotation
4.Translation
The graph of the equation, 3x + 5y = 12, is the graph attached in the image below.
<h3>How to Graph a Linear Equation?</h3>
The slope (m) and the y-intercept (b) of a linear equation can easily be determined by writing a linear equation in slope-intercept form, y = mx + b.
The slope of the line is the rise/run, while the y-intercept tells us at what point on the y-axis the line intercepts.
Rewrite 3x + 5y = 12, in slope-intercept form:
5y = - 3x + 12
y = -3/5x + 12/5
The slope of the line of the equation is -3/5 while the y-intercept is 12/5.
Therefore, the graph of the equation, 3x + 5y = 12, is the graph attached in the image below.
Learn more about the graph of a linear equation on:
brainly.com/question/14323743
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Answer:
- horizontally compressed by a factor of 2 and translated upward by 3 units.
Step-by-step explanation:
A multiplier of x in a function transformation is effectively a compression factor. That is f(2x) will have half the horizontal extent of f(x) for the same values of x.
Addition of a constant the the value of a function effectively translates the graph upward by that amount. The graph of y = log(2x) +3 has been translated upward 3 units.
The graph of y=log(x) has been horizontally compressed and translated upward to produce the graph of y = log(2x) +3.
Answer:
9
Step-by-step explanation:
Let the no be x
By the conditions given ,
2x + 6x = 72
8x = 72
x = 72/8
x = 9
therefore the no is 9
