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Function Notation Transformations Check Point

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Function Notation Transformations Check Point
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

(-2, 5)

(-6, 5)

(-4, 3)

(-4, 7)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

𝑦=𝑓(𝑥)+2𝑦=𝑓(𝑥)+2

𝑦=𝑓(𝑥)−2𝑦=𝑓(𝑥)−2

𝑦=𝑓(𝑥+2)𝑦=𝑓(𝑥+2)

𝑦=𝑓(𝑥−2)𝑦=𝑓(𝑥−2)

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image


𝑦=𝑓(𝑥)+2𝑦=𝑓(𝑥)+2

𝑦=𝑓(𝑥)−2𝑦=𝑓(𝑥)−2

𝑦=𝑓(𝑥+2)𝑦=𝑓(𝑥+2)

𝑦=𝑓(𝑥−2)𝑦=𝑓(𝑥−2)

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How would you write y = 2x - 3 in function notation?

y = 2x-3

f = 2x - 3

f(x) = 2x-3

Tags

CCSS.HSF.IF.A.2

6.

DRAG AND DROP QUESTION

1 min • 1 pt

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation. (a)  

g(x) is shifted up 6 units

g(x) is shifted down 6 units

g(x) is shifted left 6 units

g(x) is shifted right 6 units

7.

DROPDOWN QUESTION

1 min • 1 pt

What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x- 7)? Complete the sentence by selecting the correct answers from the drop-down menus. The graph of the line ​ (a)   ​ ​ (b)   7 units.

shifts horizontally

up

down

left

right

shifts vertically

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