Linear and Quadratic Transformations

Front

What does the equation g(x) = f(x + 3) do to the graph of f(x)?

Back

Shifts the graph left three units.

Front

Which equation is a quadratic function reflected over the x-axis and shifted up 2?

Back

y = -x^2 + 2.

Front

Which parent function matches the graph of a parabola?

Back

y = x^2.

Front

What is the effect of the transformation f(x) = f(x - 2)?

Back

Shifts the graph of f(x) to the right by 2 units.

Front

What is the effect of the transformation g(x) = f(x) + 4?

Back

Shifts the graph of f(x) up by 4 units.

Front

What is the effect of the transformation g(x) = f(x) - 5?

Back

Shifts the graph of f(x) down by 5 units.

Front

What does the equation g(x) = -f(x) represent?

Back

A reflection of the graph of f(x) over the x-axis.

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you find the vertex of the quadratic function y = ax^2 + bx + c?

Back

The vertex is at x = -b/(2a).

Front

What does the equation g(x) = f(x - 1) + 3 do to the graph of f(x)?

Back

Shifts the graph right by 1 unit and up by 3 units.