Quadratic Transformations : Vertex Form

Front

What is the vertex of the parabola: y=2(x-3)²+4?

Back

(3,4)

Front

Which equation would shift the quadratic function f(x)=x² up 3 units and to the right 4 units?

Back

f(x)=(x-4)²+3

Front

What is the vertex for f(x)=4(x-2)² + 3?

Back

(2,3)

Front

How did we transform from the parent function to f(x)=\frac{1}{4}x²?

Back

Vertical compression by 1/4 (wider)

Front

Identify the vertex of f(x) = 5(x+6)² - 7.

Back

(-6,-7)

Front

What is the general form of a quadratic function?

Back

f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in the vertex form of a quadratic function indicate?

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What is the vertex form of a quadratic function?

Back

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

Front

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

Back

The vertex is given by the point (h, k) in the equation f(x) = a(x-h)² + k.

Front

What transformation does the equation f(x) = (x-2)² represent?

Back

A horizontal shift 2 units to the right.