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Introduction to Quadratics

Authored by Barbara White

Mathematics

10th - 11th Grade

CCSS covered

Introduction to Quadratics
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23 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which transformation transforms the graph of

f(x) = x2 to the graph of

g(x) = (x + 4)2?

a vertical shift 4 units up

a vertical shift 4 units down

a horizontal shift 4 units to the left

a horizontal shift 4 units to the right

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How did we transform from f(x) =x2

to

g(x) = -3x2

reflection over x-axis and vertical shift down 3 units.

reflection over x-axis and vertical stretch by a factor of 3.

horizontal stretch by a factor of 3.

reflection over x-axis and vertical compression by a factor of 3.

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How did we transform from the parent function?

g(x) = -1/5(x - 1)2 + 7

reflection across the x-axis, vertical compression by a factor of 1/5, horizontal shift right 1, vertical shift up 7.

vertical compression by a factor of 1/5, horizontal shift left 1, vertical shift up 7

reflection across the x-axis, horizontal shift right 1, vertical shift down 7

no changes were made to y = x2

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which transformation transforms the graph of

f(x) = x2 to the graph of

g(x)=5(x+3)2-10?

Vertical stretch by a factor of 5, right 3, down 10.

Vertical stretch by a factor of 5, left 3, down 10.

Reflect across the x-axis, vertical stretch by a factor of 3, up 5, left 10.

Horizontal stretch by a factor of 5, left 3, down 10.

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which transformation transforms the graph of

f(x) = x2 to the graph of

g(x) = -(x + 3)2 - 5?

left 5, up 3, reflect across the x-axis

reflect across the x-axis, left 3, down 5.

Left 3, vertical stretch by a factor of 5,

Reflect across the x-axis, right 3, down 5

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which transformation transforms the graph of

f(x) = x2 to the graph of

g(x) = 3/4 (x - 5)2 + 12 ?

reflection by a factor of 34

left 5, up 12, and a horizontal compression by a factor of 3/4

Vertical compression by a factor of 3/4, right 5, and up 12

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which transformation transforms the graph of

f(x) = x2 to the graph of

gf(x) = -x 2 -11

Down 11 and reflected across the x-axis.

Reflect across the y-axis and up 11.

down 11

up 11

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