2.1 Transformations of Quadratic Functions

Front

What is the vertex of the quadratic function f(x) = -2(x+1)² + 3?

Back

(-1, 3)

Front

How does the function y = 5x² compare to the parent function y = x²?

Back

Narrower

Front

Describe the transformation of the function y = 3(x - 3)² + 3.

Back

Narrow, Right, Up

Front

Which function produces the narrowest graph that opens upward? y = 1/4x², y = -4x², y = -1/4x², y = 4x²?

Back

y = 4x²

Front

If the vertex of f(x) is (2, -2) and g(x) = f(x) - 4, what is the vertex of g(x)?

Back

(2, -6)

Front

What is a quadratic function?

Back

A function of the form f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in a quadratic function determine?

Back

The direction and width of the parabola; if a > 0, it opens upward; if a < 0, it opens downward.

Front

What is the effect of a positive 'k' in the function f(x) = a(x - h)² + k?

Back

It shifts the graph upward by k units.

Front

What is the effect of a negative 'k' in the function f(x) = a(x - h)² + k?

Back

It shifts the graph downward by k units.

Front

What does the 'h' value in a quadratic function represent?

Back

The x-coordinate of the vertex, indicating horizontal shifts.