Linear Transformations

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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?

Steeper

Less Steep

Shift up

1/3

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1/3

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 new line is reflected and steeper.

The new line is reflected and translatedup.

The y intercept of the new line is translated down.

2/3

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2/3

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?

Reflected

Flatter

Translated down 1

3/3

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3/3

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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?

A. The new line is steeper and translated up.

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

C. The new line is steeper and translated down.

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

1/4

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1/4

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?

A. Steeper and translated up

B. Less steep and translated up

C. Steeper and translated down

D. Less steep translated up

2/4

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2/4

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?

A. Steeper and shifted down

B. Steeper and relfected

C. Less steep and shifted down

D. Steeper and shifted up

3/4

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3/4

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?

A. Less Steep and shifted up

B. Steeper and shifted down

C. Steeper and shifted up

D. Less steep and shifted down

4/4

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4/4

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

1/5

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

4/5

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

5/5

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5/5

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1/5

What is the linear parent function?

y=x

y=-x

y=mx+b

1/5

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2/5

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

y=-10x

y=x-10

y=-x+10

2/5

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3/5

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

g(x)=2x-4

g(x)=-1/2x

g(x)=-9x

3/5

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4/5

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

The new graph is reflected and up 2

The new graph is reflected and up 5

The new graph is reflected and up 3

4/5

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5/5

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

The y intercept is 0

The slope is 0

It goes through the orgin

5/5

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5/5

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