Discovering Quadratic Transformations

Last updated about 4 years ago

10 questions

Discovering Quadratic Transformations

Last updated about 4 years ago

10 questions

y = x2 is called the "parent function" of all quadratic functions. It is the most basic form of a quadratic function and can be transformed in infinitely many ways to create all other quadratic functions. We call it the "parent function" because we use it as a starting point from which to create other quadratic functions. Use the problems below to create graphs and visualize what transformations are being made to the parent function.

Graph x2 and x2 + 4 in desmos

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

What transformation occurred when x2 became x2 + 4?

Graph x2 and x2 - 6 in desmos

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

What transformation occurred when x2 became x2 - 6?

Graph x2 and (x - 1)2 in desmos

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

What transformation occurred when x2 became (x - 1)2?

Graph x2 and (x + 2)2 in desmos

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

What transformation occurred when x2 became (x + 2)2?

Match the function to its transformation from the parent function

Draggable item		Corresponding Item
x2 - 5		moved up 4 places
x2 - 4		moved down 4 places
(x - 5)2		moved right 4 places
x2 + 4		moved left 4 places
x2 + 5		moved up 5 places
(x - 4)2		moved down 5 places
(x + 5)2		moved left 5 places
(x + 4)2		moved right 5 places

Discovering Quadratic Transformations

Discovering Quadratic Transformations

Graph x2 and x2 + 4 in desmos

What transformation occurred when x2 became x2 + 4?

Graph x2 and x2 - 6 in desmos

What transformation occurred when x2 became x2 - 6?

Graph x2 and (x - 1)2 in desmos

What transformation occurred when x2 became (x - 1)2?

Graph x2 and (x + 2)2 in desmos

What transformation occurred when x2 became (x + 2)2?

Match the function to its transformation from the parent function

What would happen to the parent function if it became y = (x - 3)2 + 5?

Graph x2 and x2 + 4 in desmos

What transformation occurred when x2 became x2 + 4?

Graph x2 and x2 - 6 in desmos

What transformation occurred when x2 became x2 - 6?

Graph x2 and (x - 1)2 in desmos

What transformation occurred when x2 became (x - 1)2?

Graph x2 and (x + 2)2 in desmos

What transformation occurred when x2 became (x + 2)2?

Match the function to its transformation from the parent function

What would happen to the parent function if it became y = (x - 3)2 + 5?