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Example Questions
Example Question #41 :Transformations Of Linear Functions
Shift the graph:up five units. What is the new equation?
Use distribution to simplify this equation. We will need to put the equation in slope-intercept format,
The equation becomes:
Shifting this equation up five units will add five to the y-intercept.
的一个nswer is:
Example Question #91 :Linear Functions
Shift the graphthree units to the left. What's the new equation?
In order to shift an equation to the left three units, the x-variable will need to be replaced with the quantity of. This shifts all points left three units.
简化方程。
的一个nswer is:
Example Question #43 :Transformations Of Linear Functions
Shift the lineup six units. What is the new equation?
Add six to the equation since a vertical shift will increase the y-intercept by six units.
Simplify this equation by distribution.
的一个nswer is:
Example Question #44 :Transformations Of Linear Functions
Translate the function:to the left 5 units. What is the equation in slope-intercept format?
Divide by three on both sides.
The equation becomes:
If this equation shifts to the left five units, we will need to replace the x term with the quantity.
Simplify this equation by distribution.
Combine like-terms.
的一个nswer is:
Example Question #45 :Transformations Of Linear Functions
Translate the functionto the left four units. What is the new equation?
Translation of a graph to the left four units will require replacing the x-variable with the quantity:
Replace the term inside the equation.
Use distribution so simplify the terms.
简化方程。
的一个nswer is:
Example Question #46 :Transformations Of Linear Functions
把方程up two units. What is the new equation?
In order to find the equation after the translation, we will need to put the equation in slope-intercept format,.
Subtractfrom both sides of the equation.
The equation becomes:
Divide by three on both sides.
Add two to the y-intercept for the vertical shift. This is the same as adding.
The equation is:
# 47例问题:Transformations Of Linear Functions
If the graphis translated 5 units left, what is the new equation?
Rewrite the given equation in standard form to slope intercept format,.
Subtract x from both sides.
The slope intercept form is:
If the line is translated 5 units to the left, we need to replace the quantity of x with.
简化方程。分配的负面刺ough the binomial.
的一个nswer is:
Example Question #41 :Transformations Of Linear Functions
Shift the graphdown four units. What is the new equation?
Rewrite this equation in slope intercept form.
Addon both sides.
The equation becomes:
Divide by two on both sides.
The equation in slope intercept form is:
Shifting this equation down four units means that the y-intercept will be decreased four units.
的一个nswer is:
Example Question #49 :Transformations Of Linear Functions
Shift the lineleft three units. What is the new equation?
Rewrite the equationin slope-intercept form:
Subtract one from both sides.
Divide by three on both sides.
If this line is shifted to the left three units, replace the x-variable with.
Simplify by distribution.
的一个nswer is:
Example Question #50 :Transformations Of Linear Functions
把方程to the left two units. What is the new equation?
If the linear function is shifted left two units, the x-variable must be replaced with the quantity of.
Simplify the equation by distribution.
Combine like terms.
的一个nswer is:
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