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

a horizontal translation 4 units to the left

a vertical translation 4 units up

a vertical translation 4 units down

a horizontal translation 4 units to the right

How did we transform from f(x) =x 2 to g(x) = -3x 2

reflection in x-axis and vertical shift down

How did we transform from the parent function? g(x) = -1/5(x - 1) 2 + 7

reflection, wider, horizontal right, vertical up

wider, horizontal shift left, vertical shift up

reflection, horizontal shift right, vertical shift down

no changes were made to y = x 2

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

horizontal shift left and vertical shift down

horizontal shift down and vertical shift left

horizontal shift right and vertical shift up

horizontal shift up and vertical shift right

What do you do to the b value to correctly complete the square?

divide it by 2 and square the result

divide it by 2 and take the square root of the result

When do you use the plus or minus symbol? ±

After taking the square root of both sides

After adding the square to both sides

After setting the equation equal to zero

Quadratics

Authored by Barbara White

Mathematics

9th - 12th Grade

CCSS covered

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60 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Factor
n² + 16n + 63

(n-7)(n+4)

(n+7)(n-9)

(n-3)(n-10)

(n+7)(n+9)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Factor
k² -2k - 24

(k+4)(k-6)

(k+4)(k+6)

(k+6)(k-1)

(k-4)(k+6)

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Factor
3v² - 4v - 7

(3v-7)(v+1)

3(v-7)(v-1)

(3v+1)(v-9)

(3v+1)(v-10)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor
3a² + 4a + 1

(7a-10)(a-8)

Not factorable

(3a+1)(a+1)

(3a-1)(a-1)

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor
2x² - 13x - 70

(2x-7)(x+10)

(7x+5)(x+2)

(2x+7)(x-10)

2(x+7)(x+10)

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor
5x²-28x+32

(3x-10)(x+6)

(x-8)(5x-4)

(5x-8)(x-4)

(5x-8)(x+7)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor
4n²-17n-15

(n-10)(6n+1)

(4n-5)(n-3)

(n-5)(4n-3)

(n-5)(4n+3)

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