Vertex Form Quadratics

Front

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

Back

(2,3)

Front

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

Back

(3,4)

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x-h)² + k

Front

What causes the graph of y = x² to open downward?

Back

Multiply the x² by a negative number.

Front

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

Back

Up

Front

What does the 'a' in vertex form f(x) = a(x-h)² + k represent?

Back

The direction and width of the parabola.

Front

If 'a' is positive in the vertex form, how does the parabola open?

Back

It opens upwards.

Front

If 'a' is negative in the vertex form, how does the parabola open?

Back

It opens downwards.

Front

What is the significance of the vertex (h,k) in the vertex form?

Back

It represents the highest or lowest point of the parabola.

Front

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

Back

Use the formula h = -b/(2a) and k = f(h).