Translations of Functions

Front

What is the equation for the translation of f(x)=|x| that moves right 4 units?

Back

f(x) = |x - 4|

Front

Which equation below is a quadratic function translated left 4 units?

Back

y = (x + 4)²

Front

What shifts have occurred if a function is translated right 1 unit and up 5 units?

Back

The function has been translated right 1 unit and up 5 units.

Front

TRUE/FALSE: Numbers being added/subtracted on the INSIDE of grouping symbols shift the graph up and down.

Back

False

Front

What is the equation for the translation of f(x)=|x| that moves up 11 units?

Back

f(x) = |x| + 11

Front

What is the general form of a function translated horizontally?

Back

f(x) = f(x - h) for a right translation and f(x) = f(x + h) for a left translation.

Front

How does adding a constant outside the function affect the graph?

Back

It shifts the graph vertically; adding moves it up, subtracting moves it down.

Front

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

Back

It reflects the graph across the x-axis.

Front

What is the equation for a quadratic function in vertex form?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

How do you determine the direction of a parabola?

Back

The sign of 'a' in the vertex form determines the direction; 'a' > 0 opens up, 'a' < 0 opens down.

Tags

CCSS.HSF-IF.C.7A