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

a translation shifting f(x) 4 units to the left

a reflection across the line x = -4

a reflection across the line y = -4

a translation shifting f(x) 4 units to the right

How does the graph of f(x) = (x + 3) 2 + 5 compare to the graph of g(x) = (x - 1) 2 - 4. {Hint: Compare their vertexes.}

f(x) is shifted 4 left and 9 up from g(x)

f(x) is shifted 4 to the right and 9 down from g(x)

f(x) is shifted 3 left and 5 up from g(x)

f(x) is shifted 4 left and 9 down from g(x)

Quadratic Transformations Graphs

Authored by Barbara White

Mathematics

9th - 12th Grade

CCSS covered

Used 2+ times

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What are the transformations?
y = (x - 2)²+ 4

shift 2 units right
shift 4 units up

shift 2 units left
shift 4 units up

shift 2 units right
shift 4 units down

shift 2 units left
shift 4 units up

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3

Minimum value, because the a value is positive

Maximum value, because the b value is positive

Maximum value, because the a value is positive

Minimum value, because the c value is negative

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If the blue is f(x) = x², the red must be:

g(x) = (x + 3)²

g(x) = (x - 3)²

g(x)= x² + 3

g(x) = x² - 2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

How did we transform from the parent function?
y = x² + 2

horizontal shift up

vertical shift up

horizontal shift down

vertical shift down

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the horizontal shift of this equation?
y = -(x + 3)² - 5

left 3

right 3

left 5

right 5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the green dots called?

axis of symmetry

vertex

parabola

roots or x-intercepts

Which of the following does NOT contain a REFLECTION of y = x²?

y = -2(x + 5)² + 3

y = (-3x + 5)² + 3

y = (1/2) (x + 5)² + 3

y = -x² + 3

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Quadratic Transformations Graphs

What are the transformations?
y = (x - 2)²+ 4

Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3

If the blue is f(x) = x², the red must be:

How did we transform from the parent function?
y = x² + 2

What is the horizontal shift of this equation?
y = -(x + 3)² - 5

What are the green dots called?

Which of the following does NOT contain a REFLECTION of y = x²?

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

How does the graph of f(x) = (x + 3)² + 5 compare to the graph of
g(x) = (x - 1)² - 4. {Hint: Compare their vertexes.}

What is vertex form of a quadratic function

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Quadratic Transformations Graphs

What are the transformations?y = (x - 2)2 + 4

Does the following quadratic equation have a maximum or minimum value? How can you tell?y=x²+2x-3

If the blue is f(x) = x2 , the red must be:

How did we transform from the parent function?y = x2 + 2

What is the horizontal shift of this equation?y = -(x + 3)2 - 5

What are the green dots called?

Which of the following does NOT contain a REFLECTION of y = x2?

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

How does the graph of f(x) = (x + 3)2 + 5 compare to the graph of g(x) = (x - 1)2 - 4. {Hint: Compare their vertexes.}

What is vertex form of a quadratic function

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What are the transformations?
y = (x - 2)²+ 4

Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3

If the blue is f(x) = x², the red must be:

How did we transform from the parent function?
y = x² + 2

What is the horizontal shift of this equation?
y = -(x + 3)² - 5

Which of the following does NOT contain a REFLECTION of y = x²?

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

How does the graph of f(x) = (x + 3)² + 5 compare to the graph of
g(x) = (x - 1)² - 4. {Hint: Compare their vertexes.}