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

What are the transformations? y=(x-2) 3 +4

Horz shift right 2 Vert shift up 4

Horz shift left 2 Vert shift up 4

Horz shift right 2 Vert shift down 4

Horz shift left 2 Vert shift up 4

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 translation shifting f(x) 4 units up

a translation shifting f(x) 4 units down

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

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.

Which transformation will occur if f(x) = x 2 is replaced with 1/2⋅f(x)?

Vertical Compression by a factor of 1/2

Vertical Stretch by a factor of 1/2

Vertical translation up by 2 units.

Describe the transformation of y = f(x) for the new function y = - f(x)

The graph of y = f(x) was flipped vertically across the x axis.

The graph of y = f(x) was flipped horizontally across the y axis.

The graph of y = f(x) was shifted down.

The graph of y = f(x) was shifted up

Describe the transformation of y = f(x) for the new function y = f(- x)

The graph of y = f(x) was flipped horizontally across the y axis.

The graph of y = f(x) was flipped vertically across the x axis.

The graph of y = f(x) was shifted down.

The graph of y = f(x) was shifted up

What are the transformations of this functions compared to the parent function?

Reflected over the x-axis, vertical stretch, and shifted right 5

Shifted right 5, shifted down 2, and reflected over the x-axis

Reflected over the x-axis, vertical stretch, and shifted left 5

Shifted right 5, shifted down 2

Let f ( x ) = x f\left(x\right)=\sqrt{x} f ( x ) = x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> and g ( x ) = − 3 x − 2 + 1 g\left(x\right)=-3\sqrt{x-2}+1 g ( x ) = − 3 x − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 1 . Describe g(x) in terms of f(x):

reflects over x axis, vertical stretch by 3, right 2, up 1

reflects over y axis, vertical compression by -3, left 2, up 1

reflects over x axis, vertical stretch by -3, left 2, up 1

reflects over y axis, vertical compression by 1/3, right 2, up 1

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

Stretched vertically and reflected over x-axis

Compressed vertically and reflected over the x-axis

Parent Function transformations

Authored by EVELYN MARTINEZ

Mathematics

11th Grade

CCSS covered

Used 24+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation that occurred
p(x) = f(x + 3)

Right 3 units

Vertical Stretch

Up 3 units

Left 3 units

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation that occurred.
h(x) = f(x) + 2

up 2 units

left 2 units

Vertical Strech

right 2 units

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation that occurred.
w(x) = f(x - 7)

Down 7

Up 7

Right 7

vertical shrink

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation that occurred
m(x) = f(x + 1)

Left 1 Unit

Right 1 unit

vertical stretch

up 1 unit

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation that occurred
k(x) = f(x) - 9

vertical compression/shrink

Down 9 units

Left 9 units

Right 9 Units

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation that occurred
g(x) =2f(x)

Up 2 units

vertical compression

vertical stretch

Right 2 Units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation that occurred
h(x) = 1/5f(x)

Up 5 Units

vertical shrink

vertical stretch

Down 5 Units

Tags

CCSS.HSF.BF.B.3

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Parent Function transformations

Describe the transformation that occurred
p(x) = f(x + 3)

Describe the transformation that occurred.
h(x) = f(x) + 2

Describe the transformation that occurred.
w(x) = f(x - 7)

Describe the transformation that occurred
m(x) = f(x + 1)

Describe the transformation that occurred
k(x) = f(x) - 9

Describe the transformation that occurred
g(x) =2f(x)

Describe the transformation that occurred
h(x) = 1/5f(x)

Describe the transformation that occurred
t(x) = f(x) - 1

Describe the transformation that occurred
d(x) = f(x) - 1

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

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Parent Function transformations

Describe the transformation that occurredp(x) = f(x + 3)

Describe the transformation that occurred. h(x) = f(x) + 2

Describe the transformation that occurred.w(x) = f(x - 7)

Describe the transformation that occurred m(x) = f(x + 1)

Describe the transformation that occurredk(x) = f(x) - 9

Describe the transformation that occurred g(x) =2f(x)

Describe the transformation that occurredh(x) = 1/5f(x)

Describe the transformation that occurred t(x) = f(x) - 1

Describe the transformation that occurred d(x) = f(x) - 1

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Describe the transformation that occurred
p(x) = f(x + 3)

Describe the transformation that occurred.
h(x) = f(x) + 2

Describe the transformation that occurred.
w(x) = f(x - 7)

Describe the transformation that occurred
m(x) = f(x + 1)

Describe the transformation that occurred
k(x) = f(x) - 9

Describe the transformation that occurred
g(x) =2f(x)

Describe the transformation that occurred
h(x) = 1/5f(x)

Describe the transformation that occurred
t(x) = f(x) - 1

Describe the transformation that occurred
d(x) = f(x) - 1

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