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Transformations of Quadratic Functions

Authored by Katherine Meis

Mathematics

8th Grade

Used 8+ times

Transformations of Quadratic Functions
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17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which answer choice describes how the graph of f(x)=x2f\left(x\right)=x^2 was transformed to create the graph n(x)=x2−1n\left(x\right)=x^2-1 ?

A vertical shift up

A horizontal shift to the left

A vertical shift down

A horizontal shift to the right

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Quadratic functions p and q are graphed on the grid. The graph of p was transformed to create the graph of q.

Which function best represents the graph of q?

q(x)=−(x−2)2q\left(x\right)=-\left(x-2\right)^2

q(x)=−(x+2)2q\left(x\right)=-\left(x+2\right)^2

q(x)=−x2−2q\left(x\right)=-x^2-2

q(x)=−x2+2q\left(x\right)=-x^2+2

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The graph of f(x)=x2f\left(x\right)=x^2 is reflected over the x-axis and is stretched horizontally to create the graph of function g.

Which graph could represent g?

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4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The graph of f(x)=x2f\left(x\right)=x^2 was translated 4.5 units to the left to create the graph of function g. Which function represents g?

g(x)=(x−4.5)2g\left(x\right)=\left(x-4.5\right)^2

g(x)=(x+4.5)2g\left(x\right)=\left(x+4.5\right)^2

g(x)=x2−4.5g\left(x\right)=x^2-4.5

g(x)=x2+4.5g\left(x\right)=x^2+4.5

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The graph of a quadratic parent function f was transformed to create the graph of g(x)=f(x+2)−5g\left(x\right)=f\left(x+2\right)-5 . Which graph best reprents g?

Media Image

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6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The graph of f(x)=x2f\left(x\right)=x^2 was transformed to create the graph of g(x)=f(x)−9g\left(x\right)=f\left(x\right)-9 . Which statement about the graphs is true?

The graph of g is a reflections of the graph of f across the x-axis.

The vertex of the graph of g is 9 units to the rights of the vertex of the graph of f.

The graph of g is a reflection of the graph of f across the y-axis.

The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

7.

MATH RESPONSE QUESTION

5 mins • 1 pt

Media Image

The graph of quadratic function p is shown on the grid.

If k(x)=x2k\left(x\right)=x^2 and p(x)=k(x)+np\left(x\right)=k\left(x\right)+n , what is the value of n?

−6-6

Mathematical Equivalence

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