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Characteristics and Transformations of Quadratic Functions

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Used 4+ times

Characteristics and Transformations of Quadratic Functions
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Identify the function graphed here.

Tags

CCSS.HSF-IF.C.7A

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation transforms the graph of
f(x) = x2 to the graph of
g(x) = (x + 4)2?

a vertical translation 4 units up

a vertical translation 4 units down

a horizontal translation 4 units to the left

a horizontal translation 4 units to the right

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

horizontal shift down and vertical shift left

horizontal shift left and vertical shift down

horizontal shift right and vertical shift up

horizontal shift up and vertical shift right

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the vertex of this parabola?

Hint: The highest or lowest point of the U

(−1, 3)

(−3, 11)

(−2, 5)

(0, 5)

5.

DROPDOWN QUESTION

1 min • 5 pts

Media Image

Vertex: ​ (a)  

Y-intercept: ​ (b)  

Axis of Symmetry: ​ (c)  

Max or min: ​ (d)  

Max or Min value:​ (e)  

(3,4)

(0,-5)

x = 3

Max

y = 4

4,3

(4,3)

(-5,0)

y = 3

Min

6.

DROPDOWN QUESTION

1 min • 1 pt

Media Image

Vertex: ​ (a)   Y-intercept: ​ (b)   Axis of Symmetry: ​ (c)   Max or min: ​ (d)   Range:​ (e)  

(3,4)

(0,-5)

x = 3

Max @ y = 4

( -∞, 4]

(4,3)

(-5,0)

y = 3

[4, ∞)

Min @ y = -5

7.

DROPDOWN QUESTION

1 min • 1 pt

Media Image

Vertex: ​ (a)  

Y-intercept: ​ (b)  

Axis of Symmetry: ​ (c)  

Max or min: ​ (d)  

Range:​ (e)  

(3,4)

(0,-5)

x = 3

Max @ y = 4

( -∞, 4]

(4,3)

(-5,0)

y = 3

[4, ∞)

Min @ y = -5

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