Stretching Graphs Practice Problems Online

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

\dfrac{1}{7}.

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

x

-axis by a factor of

\dfrac{1}{7}.

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.

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.

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 $b?$

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.

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Stretching Graphs

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Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 8 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Function Graphs

Concept Quizzes

Challenge Quizzes

Stretching Graphs

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.