What causes the graph of y = x 2 to open downward?

multiply the x 2 by a negative number

multiply the x 2 by a number greater than 1

Which transformation will occur if f(x) = x 2 is replaced with 2⋅f(x)?

Vertical Stretch by a factor of 2

Vertical Compression by a factor of 2

Vertical translation up by 2 units.

Describe the transformation of the equation below from the parent function of y = IxI y = -2Ix-3I+3

reflected over x axis, vertical stretch by 2, right 3, up 3

reflected over x axis, horiz. stretch by 2, left 3 up 3.

reflected over x axis, vertical shrink by 2, right 3, up 3

reflected over the x axis, horiz. shrink by 2, left 3, up 3

Describe the transformation from the parent linear function: $$y=-3x$$ * Select TWO answers *

The 3 causes a vertical stretch

The negative causes a reflection across x-axis

The 3 causes a vertical compression

The negative causes a reflection across y-axis

$$y=\left(2\left(x-3\right)\right)^2$$ The equation above shows horizontal transformations. Choose the correct one.

shrink horizontally by 2, right 3 units

shrink horizontally by 2, left 3 units

stretch horizontally by 2, left 3 units

stretch horizontally by 2, right 3 units

1.5 Graphical Transformations

Authored by Rachel Rader

Mathematics

11th - 12th Grade

CCSS covered

Used 106+ times

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18 questions

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MULTIPLE CHOICE QUESTION

1 min • 12 pts

Which equation below is a quadratic function translated left 4 units?

y = x² + 4

y = (x + 4)²

y = (x - 4)²

y = 4x²

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation below is a quadratic function translated up 5 units?

y = x² + 5

y = (x + 5)²

y = 5x²

y = -x² - 5

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

How would the following graph differ from the graph of f(x)?

$f\left(x-2\right)-4$

horizontal shift to the right 2 and vertical shift up 4

horizontal shift to the right 2 and vertical shift down 4

horizontal shift to the left 2 and vertical shift up 2

horizontal shift to the left 2 and vertical shift down 2

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 12 pts

The green line represents the function
$y\ =\ x^2$
What function is represented by the blue line?

$y\ =\ -x^2\ -\ 3$

$y\ =\ -x^2\ +\ 3$

$y\ =\ -\left(x+3\right)^2$

$y\ =\ -\left(x-3\right)^2$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Which equation is an absolute value graph shifted right 5 units?

y = |x - 5|

y = |x + 5|

y = |x| + 5

y = -5|x|

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 12 pts

Tell how the function transformed from y =|x|
y = -2|x|

Translated left 2 units

Reflected over x-axis

Stretched vertically and reflected over x-axis

Compressed vertically and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

MULTIPLE CHOICE QUESTION

2 mins • 12 pts

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

-f(x)

f(-x)

f^-1(x)

f(2x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

2 mins • 12 pts

Identify the transformation from the graph of $f\left(x\right)=\sin\left(x\right)$ to the graph of $g(x)=-\sin(x+5)$

shifted up five units

reflection in x-axis

shifted down five units

reflection in x-axis

shifted left 5 units

reflection x-axis

shifted right 5 units

reflection x-axis

Tags

CCSS.HSF-IF.C.7E

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1.5 Graphical Transformations

Which equation below is a quadratic function translated left 4 units?

Which equation below is a quadratic function translated up 5 units?

How would the following graph differ from the graph of f(x)?

$f\left(x-2\right)-4$

The green line represents the function
$y\ =\ x^2$
What function is represented by the blue line?

Which equation is an absolute value graph shifted right 5 units?

Tell how the function transformed from y =|x|
y = -2|x|

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

Identify the transformation from the graph of $f\left(x\right)=\sin\left(x\right)$ to the graph of $g(x)=-\sin(x+5)$

What causes the graph of y = x² to open downward?

Describe the transformation from dotted to solid.

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Popular Resources on Wayground

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1.5 Graphical Transformations

Which equation below is a quadratic function translated left 4 units?

Which equation below is a quadratic function translated up 5 units?

How would the following graph differ from the graph of f(x)? f(x−2)−4f\left(x-2\right)-4f(x−2)−4

The green line represents the function y = x2y\ =\ x^2y = x2 What function is represented by the blue line?

Which equation is an absolute value graph shifted right 5 units?

Tell how the function transformed from y =|x|y = -2|x|

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

Identify the transformation from the graph of f(x)=sin⁡(x)f\left(x\right)=\sin\left(x\right)f(x)=sin(x) to the graph of g(x)=−sin⁡(x+5)g(x)=-\sin(x+5)g(x)=−sin(x+5)

What causes the graph of y = x2 to open downward?

Describe the transformation from dotted to solid.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

How would the following graph differ from the graph of f(x)?

$f\left(x-2\right)-4$

The green line represents the function
$y\ =\ x^2$
What function is represented by the blue line?

Tell how the function transformed from y =|x|
y = -2|x|

Identify the transformation from the graph of $f\left(x\right)=\sin\left(x\right)$ to the graph of $g(x)=-\sin(x+5)$

What causes the graph of y = x² to open downward?