Algebra II : Transformations of Linear Functions

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #21 :Transformations Of Linear Functions

Shift the functionright five units. What's the new equation?

Possible Answers:

Correct answer:

Explanation:

Shifting the line right five units will shift the root right by five units.

This means that thevariable will need to be replaced withsince all of the x-values are shifted right five units.

The new equation becomes:

Simplify the equation.

The answer is:

Example Question #22 :Transformations Of Linear Functions

Shift the line:up two units and left five units. What is the new equation?

Possible Answers:

Correct answer:

Explanation:

Shifting the line up two units will add two to the y-intercept.

Shifting the line left five units will indicate that the x-variable will be changed to:

Replace this quantity into the equation.

Simplify this equation.

The answer is:

Example Question #21 :Transformations Of Linear Functions

Shift the equationleft eight units. What's the new equation?

Possible Answers:

Correct answer:

Explanation:

If a function is shifted left eight units, we will need to replace theterm with the quantity.

Use the distributive property to simplify the binomial.

Solve for y. Subtractandon both sides.

Simplify both sides.

The answer is:

Example Question #887 :Algebra Ii

Translate the following function left three units:Write the new equation.

Possible Answers:

Correct answer:

Explanation:

When the graph is shifted three units to the left, the x-variable of the equation will need to be replaced with.

Replace the x term with the new term.

Simplify this equation.

Combine like-terms.

The answer is:

Example Question #24 :Transformations Of Linear Functions

Translatedown two units. What's the new equation?

Possible Answers:

Correct answer:

Explanation:

Rewrite the equation,, in slope intercept form.

Subtracton both sides.

Divide by six on both sides.

Simplify both sides.

The equation in slope intercept form is:

Shifting the function down by two units mean that the y-intercept will be subtracted by two.

The answer is:

Example Question #25 :Transformations Of Linear Functions

Shift the equationleft five units. What is the new equation?

Possible Answers:

Correct answer:

Explanation:

The graph translated five units to the left will require the x-variable to be replaced with.

Replace the term.

Simplify by distribution.

The equation of the new line is:

Example Question #26 :Transformations Of Linear Functions

Shiftdown four units. Determine the new equation.

Possible Answers:

Correct answer:

Explanation:

反对vert the equation in standard form to slope-intercept form,.

Addon both sides.

Add one on both sides.

The equation becomes:

Shifting this equation down four units means that the y-intercept must be subtracted four units.

The answer is:

Example Question #27 :Transformations Of Linear Functions

Shiftup two units and left two units. What is the new equation?

Possible Answers:

Correct answer:

Explanation:

Apply the vertical transformation. Shifting up two units will add two to the y-intercept.

Shifting the graph two units to the left will require a replacement of the x-variable with.

Simplify this equation.

The answer is:

Example Question #28 :Transformations Of Linear Functions

Shift the equationright four units. What's the new equation?

Possible Answers:

Correct answer:

Explanation:

A translation to the right four units will require the x-variable to be replaced with.

Rewrite the equation.

Simplify the binomial by distribution.

The answer is:

Example Question #23 :Transformations Of Linear Functions

Shift the equationleft five units. What is the new equation?

Possible Answers:

Correct answer:

Explanation:

If a linear function is shifted left five units, the x-variable will need to be replaced with. Replace the term, and simplify the equation.

Distribute the eight through both terms of the binomial.

The answer is:

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