Linear Transformations

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1/3

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F(x)=x is graphed on a coordinate plane.The graph of a new line is formed by changing the slope to 1/2. How does this change the original graph?

1/3

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2/3

F(x)=x is graphed on a coordinate plane.The graph of a new line is formed by changing the y intercept to -3. Which statement about the realtionship is true?

The y intercept of the new line is translated down.

The new line is reflected and translatedup.

The new line is reflected and steeper.

2/3

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3/3

Translated down 1

Flatter

Reflected

F(x) is graphed on a coordinate plane.The graph of a new line is formed by changing the slope to -1.How does this change the original graph?

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1/4

D. The new line is less steep and translated down.

C. The new line is steeper and translated down.

B. The new line is less steep and translated up.

A. The new line is steeper and translated up.

F(x) is graphed on a coordinate plane. The graph of a new line is formed by changing the slope to 2 and y-interpcet to -6 so g(x)=2x-6. Which statement is true?

1/4

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2/4

D. Less steep translated up

C. Steeper and translated down

B. Less steep and translated up

A. Steeper and translated up

The linear parent function is graphed.The slope is changed to 1/2 and y-intercept to 3 so h(x)=1/2x+3. How does the graph change?

2/4

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3/4

D. Steeper and shifted up

C. Less steep and shifted down

B. Steeper and relfected

A. Steeper and shifted down

The linear parent function is graphed.The slope is changed to 5 and y-intercept to -1 so h(x)=5x+-1. How does the graph change?

3/4

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4/4

D. Less steep and shifted down

C. Steeper and shifted up

B. Steeper and shifted down

A. Less Steep and shifted up

The linear parent function is graphed.The slope is changed to 2/5 and y-intercept to -2 so h(x)=2/5x-2. How does the graph change?

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1/5

The linear parent f is graphed above. Which graph best represents -f(x)+3?

2/5

The linear parent function f is graphed.Which graph best represents h(x)=f(x)+3?

3/5

The linear parent function f is graphed. Which graph best represents h(x)=-f(x)-3?

4/5

The linear parent function f is graphed. Which graph best represents h(x)=3/5f(x)-3?

5/5

The linear parent function f(x)=x is graphed.Which graph best represents h(x)=5/3f(x)+5

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1/5

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1/5

y=mx+b

y=-x

y=x

What is the linear parent function?

2/5

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2/5

y=x-10

y=-10x

The parent function is translated down 10 units. What is the new equation?

y=-x+10

3/5

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3/5

g(x)=-9x

g(x)=-1/2x

g(x)=2x-4

F(x)=x is steeper and reflected. Which equation best fits this?

4/5

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4/5

The new graph is reflected and up 3

The new graph is reflected and up 5

The new graph is reflected and up 2

F(x)=x+3 is changed to g(x)=-x+5. How are the graphs affected?

5/5

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5/5

It goes through the orgin

The slope is 0

The y intercept is 0

Which is not a characteristic of the linear parent function y=x?

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