Identify Vertex and Direction of Parabolas

Front

What is the axis of symmetry for the equation: y = ½(x - 4)² - 4?

Back

x = 4

Front

Identify the vertex and whether the graph opens up or down for the equation: y = (x - 2)² - 3.

Back

(2, -3); opens up

Front

Which equation has a vertex of (-2, 7)?

Back

y = 2(x + 2)² + 7

Front

A parabola has a vertex at (-4,1). Where is the axis of symmetry?

Back

x = -4

Front

Given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

Back

(-5, -4)

Front

What is the standard form of a parabola?

Back

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

Front

How do you determine if a parabola opens up or down?

Back

If 'a' (the coefficient of (x - h)²) is positive, it opens up; if negative, it opens down.

Front

What is the vertex of the parabola given by the equation y = -2(x + 3)² + 5?

Back

(-3, 5)

Front

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

Back

x = 1

Front

How can you find the vertex from the vertex form of a parabola?

Back

The vertex is (h, k) in the equation y = a(x - h)² + k.