Excel in math and science.

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

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

Translating Graphs

The above graph is the result of parallel translation of $y = x^2.$ If this graph undergoes an additional translation of $5$ in the positive direction of the $x$ -axis and an additional translation of $6$ in the positive direction of the $y$ -axis, what is the equation of the resulting graph?

y = (x+8)^2+11

y = (x-8)^2-11

y = (x+8)^2-11

y = (x-8)^2+11

Show explanation

View wiki

by Brilliant Staff

If the graph of the above circle with center $(3,5)$ and radius $4$ undergoes a translation of $4$ in the positive direction of the $x$ -axis and $5$ in the positive direction of the $y$ axis, what is the equation of the resulting graph in quadratic form?

x^2 +y^2+ 14 x + 20 y + 133=0

x^2 +y^2- 14 x - 20 y + 133=0

x^2 +y^2+ 14 x - 20 y + 133=0

x^2 +y^2- 14 x + 20 y + 133=0

Show explanation

View wiki

by Brilliant Staff

If the graph of $y = -8 x^2 -80 x -38$ undergoes a translation of $-3$ in the positive direction of the $x$ -axis and $3$ in the positive direction of the $y$ -axis, what is the equation of the resulting graph?

y = -8x^2-128x+347

y = -8x^2-128x-347

y = -8x^2+128x-347

y = -8x^2+128x+347

Show explanation

View wiki

by Brilliant Staff

If the above graph of $y = 9 x^3$ is the result of a parallel translation of the equation $y=f(x)$ by $- 5$ in the positive direction of the $x$ -axis followed by a translation of $- 3$ in the positive direction of the $y$ -axis, what is the equation $y=f(x)?$

y = -9(x-5)^3+3

y = 9(x+5)^3-3

y = -9(x+5)^3-3

y = 9(x-5)^3+3

Show explanation

View wiki

by Brilliant Staff

If the graph of $y = 5 (x-5)^2 + 7$ undergoes a translation of $3$ in the positive direction of the $x$ axis and $-1$ in the positive direction of the $y$ -axis, what is the equation of the resulting graph?

y = 5(x+8)^2+6

y = 5(x-8)^2-6

y = 5(x-8)^2+6

y = 5(x+8)^2-6

Show explanation

View wiki

by Brilliant Staff