Compare the equations f(x) = 12x + 2 and g(x) = 6x – 2. Which best describes the transformation(s) from f(x) to g(x)?

Vertical shift down 4, half the slope

Vertical shift down 2, less steep slope

Vertical shift up 4, double the slope

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

Stretched vertically and reflected over x-axis

Compressed vertically and reflected over the x-axis

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

Stretched vertically and reflected over x-axis

Compressed vertically and reflected over the x-axis

Which transformation maps the graph of f(x) = x 2 to the graph of g(x) = (x + 4) 2 ?

a translation shifting f(x) 4 units to the left

a reflection across the line x = -4

a reflection across the line y = -4

a translation shifting f(x) 4 units to the right

Which list orders the quadratic functions from narrowest to widest?

y = 4x 2 y = 2x 2 - 2 y = x 2 y = 0.5 x 2

y = x 2 y = 4x 2 y = 2x 2 - 2 y = 0.5 x 2

y = 0.5 x 2 y = x 2 y = 2x 2 - 2 y = 4x 2

y = 2x 2 - 2 y = 4x 2 y = 0.5x 2 y = x 2

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

Vertical stretch by a factor of 2.

Nothing happens, it stays the same.

Vertical translation up by 2 units.

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

Vertical translation up by 2 units.

Nothing happens, it stays the same.

Vertical stretch by a factor of 2.

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

Nothing happens, it stays the same.

Vertical stretch by a factor of 2.

Vertical translation up by 2 units.

What steps transform the graph y = x 2 to y = 2(x+2) 2 - 5?

Stretch by 2, shifted 2 units left and 5 down

Compress by 2, shifted 2 units left and 5 down

Stretch by 5, shifted 5 units left and 2 down

Compress by 5, shifted 2 units left and 2 down

What steps transform the graph y = x 2 to y = -1/2(x-4) 2 + 1?

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

Compressed by 1/2, shifted 4 units right and 1 unit up

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

Stretched by 1/2, shifted 4 units right and 1 unit down

How did we transform from the parent function? y = -1/2(x - 1) 2 + 3

reflection, vertical compression, horizontal right, vertical up

vertical compression, horizontal shift left, vertical shift up

reflection, horizontal shift right, vertical shift down

no changes were made to y = x 2

How did we transform from y=x 2? y = -3x 2

reflection and vertical stretch

reflection and vertical shift down

reflection and vertical compression

Transformations of Parabolas

Authored by Barbara White

Mathematics

9th Grade

CCSS covered

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60 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the linear parent function?

y = x

y = mx + b

f(x) = 2x

Not here

How did the equation shift from the parent function? y=(x)+2

Shift up 2

Shift down 2

steeper

flipped

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How did the equation shift from the parent function? y=(x)+7

Up 7

Down 7

Less steep

Steeper

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How did the equation shift from the parent function? y=(x-3)+5

3 right, 5 up

3 left, 5 up

3 Down

Moved 5 right

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

f(x) = 7x

f(x) = x - 7

f(x) = x + 7

f(x) = 7x - 7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If the graph of the parent function is shifted 7 units up and is steeper than the parent function, which of these could represent the function?

f(x) = 7x + 3

f(x) = x + 7

f(x) = 3/2x + 7

f(x) = 2/3x + 7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which represents the parent function shifted down two units?

f(x) = -2x

f(x) = x - 2

f(x) = x + 2

f(x) = 2x

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Transformations of Parabolas

What is the linear parent function?

How did the equation shift from the parent function? y=(x)+2

How did the equation shift from the parent function? y=(x)+7

How did the equation shift from the parent function? y=(x-3)+5

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

If the graph of the parent function is shifted 7 units up and is steeper than the parent function, which of these could represent the function?

Which represents the parent function shifted down two units?

What is the parent function
of linear functions?

Identify the line less steep than:
y = 3x + 8

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled

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Similar Resources on Wayground

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Discover more resources for Mathematics

Transformations of Parabolas

What is the linear parent function?

How did the equation shift from the parent function? y=(x)+2

How did the equation shift from the parent function? y=(x)+7

How did the equation shift from the parent function? y=(x-3)+5

If the graph of the parent function f(x) = x is shifted 7 unitsdown, which of the following equations would the new graphedline represent?

If the graph of the parent function is shifted 7 units up and is steeper than the parent function, which of these could represent the function?

Which represents the parent function shifted down two units?

What is the parent function of linear functions?

Identify the line less steep than:y = 3x + 8

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

What is the parent function
of linear functions?

Identify the line less steep than:
y = 3x + 8