What are the transformations of this functions compared to the parent function y = √(x)?

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

Describe the end behavior of the graph.

x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

x → -∞, f(x) → ∞ and x→∞, f(x) →∞

x → -∞, f(x) → ∞ and x→∞, f(x) → 0

Determine the end behavior of the graph of f(x) = 3x 4 + 2x - 5 Note: f(x)=y

As x →∞, f(x) →∞. As x→-∞, f(x) →∞.

As x →∞, f(x) →∞. As x→-∞, f(x) →-∞.

As x →∞, f(x) →-∞. As x→-∞, f(x) →∞.

As x →∞, f(x) →-∞. As x→-∞, f(x) →-∞.

Determine the end behavior of the graph of f(x) = -7x 3 + 2x - 1

As x →∞, f(x) →-∞. As x→-∞, f(x) →∞.

As x →∞, f(x) →∞. As x→-∞, f(x) →-∞.

As x →∞, f(x) →∞. As x→-∞, f(x) →∞.

As x →∞, f(x) →-∞. As x→-∞, f(x) →-∞.

h ( x ) = 4 5 x + 4 h\left(x\right)=\frac{4}{5}x+4 h ( x ) = 5 4 x + 4 Find the inverse of the function.

h − 1 ( x ) = − 5 + 5 4 x h^{-1}\left(x\right)=-5+\frac{5}{4}x h − 1 ( x ) = − 5 + 4 5 x

h − 1 ( x ) = 2 x − 3 h^{-1}\left(x\right)=2x-3 h − 1 ( x ) = 2 x − 3

h − 1 ( x ) = 4 x + 8 3 h^{-1}\left(x\right)=\frac{4x+8}{3} h − 1 ( x ) = 3 4 x + 8

h − 1 ( x ) = 3 x − 9 7 h^{-1}\left(x\right)=\frac{3x-9}{7} h − 1 ( x ) = 7 3 x − 9

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

NATURE OF GRAPHS SUMMATIVE

Authored by Robert Bryant

Mathematics

9th - 12th Grade

CCSS covered

Used 38+ times

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25 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which parent function matches the graph?

y = |x|

y = ∛(x)

y = x²

y = a⋅b^x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What type of function is shown?

absolute value

quadratic

linear

exponential

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What type of function is shown?

Exponential

square root

quadratic

cube root

Tags

CCSS.HSF-IF.C.7B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

up 2

down 2

steeper

flipped

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Match the equation to its description.

Right 2 and up 2

Left 2 and up 2

Right 2 and down 2

Left 2 and down 2

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

1 min • 12 pts

If the blue function is f(x)=√x, the red function must be

g(x)=√(-x)

g(x)=√(x-1)

g(x)=√x-1

g(x)=-√x

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

Left 3 and up 5

Right 3 and down 5

Left 3 and down 5

Right 3 and up 5

Tags

CCSS.HSF.BF.B.3

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NATURE OF GRAPHS SUMMATIVE

Which parent function matches the graph?

What type of function is shown?

What type of function is shown?

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

Match the equation to its description.

If the blue function is f(x)=√x, the red function must be

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

What are the transformations of this functions compared to the parent function y = √(x)?

The blue is f(x)=|x|, red must be

If the blue is f(x)=x^2,then the red must be

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

NATURE OF GRAPHS SUMMATIVE

Which parent function matches the graph?

What type of function is shown?

What type of function is shown?

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

Match the equation to its description.

If the blue function is f(x)=√x, the red function must be

Given f(x) = (x-3)2 + 5. What transformations took place from the original function f(x)?

What are the transformations of this functions compared to the parent function y = √(x)?

The blue is f(x)=|x|, red must be

If the blue is f(x)=x2, then the red must be

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

If the blue is f(x)=x^2,then the red must be