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Algebra

Function Graphs

Concept Quizzes

Interpreting Graphs of Functions
Translating Graphs
Stretching Graphs
Graphical Transformation - Problem Solving

Challenge Quizzes

Function Graphs: Level 2 Challenges
Function Graphs: Level 4 Challenges

Stretching Graphs

Given the graph $y = 4x^2+9$ , how do we obtain the graph of $y = 196x^2 +9?$

Note: The above graph is not drawn to scale.

Stretch with respect to the

y

-axis by a factor of

7.

Stretch with respect to the

x

-axis by a factor of

7.

Stretch with respect to the

y

-axis by a factor of

\dfrac{1}{7}.

Stretch with respect to the

x

-axis by a factor of

\dfrac{1}{7}.

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by Brilliant Staff

What is the equation of the resulting graph after stretching $y=9(x-4)^2+8$ by a factor of $\ 5$ in the $y$ -direction?

Note: The above graph is not drawn to scale.

y=45(x-20)^2+40

y=\frac{9}{5}(x-4)^2+\frac{8}{5}

y=\frac{9}{5}(x-20)^2+\frac{8}{5}

y=45(x-4)^2+40

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by Brilliant Staff

What is the equation of the resulting graph after stretching $y=7\sin(8\pi x)$ by a factor of $\frac{1}{8}$ with respect to the $x$ -axis?

Note: The above graph is not drawn to scale.

y=7\sin(512\pi x)

y=56\sin(512\pi x)

y=56\sin(64\pi x)

y=7\sin(64\pi x)

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by Brilliant Staff

If the graph of $49x^2+9y^2=25$ undergoes stretching by a factor of $a > 0$ with respect to the $x$ -axis and stretching by a factor of $b >0$ with respect to the $y$ -axis such that the resulting graph is a circle of radius $5$ , what are $a$ and $b?$

a=49

and

b=9

a=\frac{1}{49}

and

b=\frac{1}{9}

a=7

and

b=3

a=\frac{1}{7}

and

b=\frac{1}{3}

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by Brilliant Staff

What is the equation of the resulting graph after stretching $y=-8x^2+9x+6$ by a factor of $\frac{1}{6}$ horizontally and by a factor of $2$ vertically?

Note: The above graph is not drawn to scale.

y=-576x^2+108x+12

y=576x^2-108x-12

y=576x^2+108x+12

y=-576x^2+108x+6

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by Brilliant Staff