transformations of polynomials

Authored by Logan Ritchie

Business

2nd Grade

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12 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which transformation transforms the graph of $f(x)=x^2$ 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

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

How did we transform from $y=x^3$ to $y=-3x^{3\ }$

reflection in x-axis and vertical shift down

reflection x-axis and vertical stretch

horizontal stretch

reflection x-axis and vertical shrink

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

In the equation $f(x)=\frac{1}{2}(x+9)^4-1$ , what happens to the parabola?

Reflect, horizontal shrink by 1/2, left 9, down 1

Vertical shrink by 1/2, left 9, down 1

Horizontal shrink by 1/2, right 9, down 1

Vertical Stretch by 1/2, left 9, down 1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

In the equation $f(x)=5(x+3)^4-10$ what does the 5 do?

Vertical stretch by 5

Vertical Shrink by 5

Reflect

Move up 5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation describes the transformation of shifting $f(x)=x^3$ four units down?

x³+ 4

x³- 4

(x - 4)³

(x + 4)³

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation describes the transformation of shifting $f(x)=x^3$ seven units up?

x³+7

x³-7

(x-7)³

(x+7)³

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation describes the transformation of shifting $f(x)=x^3$ three units left?

x³ + 3

x³ - 3

(x + 3)³

(x - 3)³

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation:
$-f\left(x\right)$

Reflection across the x-axis

Reflection across the y-axis

Down 1

Left 1

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transformations of polynomials

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

How did we transform from $y=x^3$ to $y=-3x^{3\ }$

In the equation $f(x)=\frac{1}{2}(x+9)^4-1$ , what happens to the parabola?

In the equation $f(x)=5(x+3)^4-10$ what does the 5 do?

Which equation describes the transformation of shifting $f(x)=x^3$ four units down?

Which equation describes the transformation of shifting $f(x)=x^3$ seven units up?

Which equation describes the transformation of shifting $f(x)=x^3$ three units left?

If the blue graph is
f(x) = x²the red must be...

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

Describe the transformation:
$-f\left(x\right)$

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transformations of polynomials

Which transformation transforms the graph of f(x)=x2f(x)=x^2f(x)=x2 to the graph of g(x)=(x+4)2g(x)=(x+4)^2g(x)=(x+4)2 ?

How did we transform from y=x3y=x^3y=x3 to y=−3x3 y=-3x^{3\ }y=−3x3

In the equation f(x)=12(x+9)4−1f(x)=\frac{1}{2}(x+9)^4-1f(x)=21​(x+9)4−1 , what happens to the parabola?

In the equation f(x)=5(x+3)4−10f(x)=5(x+3)^4-10f(x)=5(x+3)4−10 what does the 5 do?

Which equation describes the transformation of shifting f(x)=x3f(x)=x^3f(x)=x3 four units down?

Which equation describes the transformation of shifting f(x)=x3f(x)=x^3f(x)=x3 seven units up?

Which equation describes the transformation of shifting f(x)=x3f(x)=x^3f(x)=x3 three units left?

If the blue graph is f(x) = x2 the red must be...

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

Describe the transformation: −f(x)-f\left(x\right)−f(x)

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Similar Resources on Wayground

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

How did we transform from $y=x^3$ to $y=-3x^{3\ }$

In the equation $f(x)=\frac{1}{2}(x+9)^4-1$ , what happens to the parabola?

In the equation $f(x)=5(x+3)^4-10$ what does the 5 do?

Which equation describes the transformation of shifting $f(x)=x^3$ four units down?

Which equation describes the transformation of shifting $f(x)=x^3$ seven units up?

Which equation describes the transformation of shifting $f(x)=x^3$ three units left?

If the blue graph is
f(x) = x²the red must be...

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

Describe the transformation:
$-f\left(x\right)$