Parent Graph Transformations - graphing and writing equations

Front

What is a parent graph?

Back

A parent graph is the simplest form of a function, which serves as a base for transformations. For example, y = x^2 is the parent graph of quadratic functions.

Front

What does it mean to translate a graph?

Back

Translating a graph means shifting it horizontally, vertically, or both without changing its shape.

Front

What is a vertical stretch in graph transformations?

Back

A vertical stretch occurs when the graph of a function is stretched away from the x-axis, making it taller. This is done by multiplying the function by a factor greater than 1.

Front

How does a horizontal stretch affect a graph?

Back

A horizontal stretch compresses the graph towards the y-axis, making it wider. This is done by multiplying the x variable by a factor between 0 and 1.

Front

What is the effect of a negative sign in front of a function?

Back

A negative sign in front of a function reflects the graph across the x-axis.

Front

Describe the transformation: left 2, up 5.

Back

The graph moves 2 units to the left and 5 units up from its original position.

Front

What is the equation of a quadratic function with a vertical stretch of 3 and translated up 5 units?

Back

y = 3x^2 + 5.

Front

How do you determine the new function after transformations?

Back

Apply the transformations to the parent function step by step, adjusting the equation accordingly.

Front

What does 'up 3' mean in graph transformations?

Back

'Up 3' means to shift the entire graph 3 units higher on the y-axis.

Front

What is the effect of a horizontal translation to the right?

Back

A horizontal translation to the right shifts the graph to the right by the specified number of units.