0
How do I reflect the graph of f(x)x-1 across the y axis and then translate it 4 units down?
To reflect the graph of ( f(x) = x - 1 ) across the y-axis, you replace ( x ) with ( -x ), resulting in the equation ( f(-x) = -x - 1 ). To translate this graph 4 units down, you subtract 4 from the entire function, giving you ( f(-x) - 4 = -x - 1 - 4 = -x - 5 ). Thus, the final transformed function is ( f(-x) - 4 = -x - 5 ).
What else can I help you with?
How do you show 4 x 23 in two different ways on a graph sheet?
As a rectangle 4 units across by 23 units high and as a rectangle 23 units across by 4 units high.
Graph the equation y equals 2x plus 1?
So, if we see the basic equation y=mx+b, we see that m=2, and b=1. If you look closely, this is basic rotation and translation of the original graph. First, I would translate the "mother graph" (y=mx) and then translate one up. Then, we would rotate the graph to the right two units.
Which rule describes a transformation across the x axis?
You have to add on the number that you want to transform the graph by. For example to move the graph 2 units along the x-axis the transformation would be f(x+2).
How would you translate the graph of y-x2 to produce the graph of y-(x-2)2?
To translate the graph of ( y = -x^2 ) to produce the graph of ( y = -(x-2)^2 ), you would shift the graph 2 units to the right. This transformation occurs because the expression inside the parentheses, ( (x-2) ), indicates a horizontal shift. The negative sign in front of the squared term indicates that the parabola opens downward, which remains unchanged in the translation. Thus, the vertex moves from the origin (0, 0) to the new vertex at (2, 0).
What are the numbers that show the units on a graph?
COORDINATES....
What describes how to translate the graph y x to obtain the graph of y x - 6?
To translate the graph y = x to the graph of y = x - 6, shift the graph of y = x down 6 units.
What describes how to translate the graph y x to obtain the graph of y x plus 1 plus 1?
You move the graph upwards by 2 units.
If f(x) is the graph of f(x) translated down 2 units?
f(x) cannnot be a graph of itself translated down by anything other than 0 units.
Translate two units down from the graph y equals the absolute value of x?
y = |x| - 2
How do you show 4 x 23 in two different ways on a graph sheet?
As a rectangle 4 units across by 23 units high and as a rectangle 23 units across by 4 units high.
How can you translate the graph of y equals x to obtain the graph of y equals x-4 plus 2?
y equals x-4 plus 2 is the same as y = x-2. You just translate the graph of y=x, 2 units to the right, OR 2 down.
Graph the equation y equals 2x plus 1?
So, if we see the basic equation y=mx+b, we see that m=2, and b=1. If you look closely, this is basic rotation and translation of the original graph. First, I would translate the "mother graph" (y=mx) and then translate one up. Then, we would rotate the graph to the right two units.
What is the transformation of the graph of y equals x2 to obtain the graph of y equals -x2 plus 3?
First, reflect the graph of y = x² in the x-axis (line y = 0) to obtain the graph of y = -x²; then second, shift it 3 units up to obtain the graph of y = -x² + 3.
What is the equation if the graph of fx3x is translated up 4 units?
I am not entirely sure what the equation is supposed to be. However, to translate something 4 units up (4 units in the y-direction), simply replace every "y" in your equation by "y - 4". Simplify the result if you want.
Which rule describes a transformation across the x axis?
You have to add on the number that you want to transform the graph by. For example to move the graph 2 units along the x-axis the transformation would be f(x+2).
How would you translate the graph of y-x2 to produce the graph of y-(x-2)2?
To translate the graph of ( y = -x^2 ) to produce the graph of ( y = -(x-2)^2 ), you would shift the graph 2 units to the right. This transformation occurs because the expression inside the parentheses, ( (x-2) ), indicates a horizontal shift. The negative sign in front of the squared term indicates that the parabola opens downward, which remains unchanged in the translation. Thus, the vertex moves from the origin (0, 0) to the new vertex at (2, 0).
What happens when you translate a figure down three units then up three units?
if you translate a figure up thee units then down three it will stay the same
