Vertex Form Quadratics

Front

What is the vertex of the quadratic function f(x)=4(x-2)² + 3?

Back

(2, 3)

Front

Does the parabola f(x)=4(x-2)² + 3 open up or down?

Back

It opens up.

Front

What is the green dashed line in a parabola called?

Back

Axis of symmetry.

Front

What is the equation for the axis of symmetry of the function f(x)=4(x-2)² + 3?

Back

x=2.

Front

Identify the vertex and whether the graph opens up or down for f(x)=-2(x+1)² + 4.

Back

Vertex: (-1, 4); opens down.

Front

What is the general form of a quadratic function?

Back

f(x) = ax² + bx + c.

Front

What does the 'a' value in the vertex form f(x)=a(x-h)² + k indicate about the parabola?

Back

If 'a' is positive, the parabola opens up; if 'a' is negative, it opens down.

Front

How do you find the vertex from the vertex form f(x)=a(x-h)² + k?

Back

The vertex is (h, k).

Front

What is the axis of symmetry for the quadratic function f(x)=3(x-4)² + 5?

Back

x=4.

Front

What is the effect of changing the 'h' value in the vertex form f(x)=a(x-h)² + k?

Back

It shifts the graph horizontally.