Algebra 1 horizontal translations Jan 25

Front

What is a horizontal translation in algebra?

Back

A horizontal translation is a shift of a graph left or right on the coordinate plane without changing its shape.

Front

If f(x) = x^2, what is the equation of the graph translated 3 units to the left?

Back

g(x) = (x + 3)^2.

Front

What does the equation p(x) = f(x + 2) represent?

Back

A translation of the graph of f(x) 2 units to the left.

Front

How does the equation w(x) = f(x - 5) transform the graph of f(x)?

Back

It translates the graph of f(x) 5 units to the right.

Front

What is the effect of the transformation f(x) = f(x - c) where c > 0?

Back

The graph of f(x) shifts c units to the right.

Front

What does the transformation f(x) = f(x + c) where c > 0 do to the graph?

Back

The graph of f(x) shifts c units to the left.

Front

If the function is g(x) = (x - 4)^2, what transformation has occurred from f(x) = x^2?

Back

The graph has been translated 4 units to the right.

Front

What is the general form of a horizontal translation of the function f(x)?

Back

f(x - c) for a right shift and f(x + c) for a left shift.

Front

Describe the transformation of the function f(x) = x^2 to g(x) = (x + 1)^2.

Back

The graph of f(x) is translated 1 unit to the left.

Front

What does the transformation f(x) = f(x + 7) indicate?

Back

The graph of f(x) shifts 7 units to the left.