algebra 1

Front

What is a horizontal translation in graph transformations?

Back

A horizontal translation shifts the graph left or right without changing its shape. For example, the graph of f(x) = x^2 becomes g(x) = (x + 4)^2 when translated 4 units to the left.

Front

How do you find the vertex of a quadratic function in vertex form?

Back

The vertex of a quadratic function in the form y = a(x-h)^2 + k is (h, k). For example, in the equation -3(x-4)^2 + 1, the vertex is (4, 1).

Front

Back

The simplified expression is dependent on the context of the problem.