8-2 Vertex Form of Quadratics

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x-h)² + k

Front

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

Back

(3,4)

Front

What is the axis of symmetry for f(x)=3(x+1)² - 4?

Back

x = -1

Front

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

Back

(2,3)

Front

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

Back

The 'a' value determines the direction and width of the parabola.

Front

If a > 0 in the vertex form, what direction does the parabola open?

Back

The parabola opens upwards.

Front

If a < 0 in the vertex form, what direction does the parabola open?

Back

The parabola opens downwards.

Front

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

Back

The point (h, k) is the vertex of the parabola.

Front

How do you find the axis of symmetry from the vertex form?

Back

The axis of symmetry is the line x = h.

Front

Convert the standard form of a quadratic equation to vertex form: y = x² + 6x + 8.

Back

y = (x + 3)² - 1.