Vertex-Form

Front

Convert the equation x² - 12x + 40 into vertex form.

Back

(x - 6)² + 4

Front

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

Back

(-5, -4)

Front

The axis of symmetry line passes through which point?

Back

Vertex

Front

The graph of a quadratic function is called a:

Back

Parabola

Front

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

Back

Multiply the x² by a negative number.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

What does the 'a' value in vertex form indicate about the parabola?

Back

It indicates the direction of opening and the width of the parabola.

Front

How do you find the vertex from standard form?

Back

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

Front

What is the significance of the vertex in a parabola?

Back

It represents the maximum or minimum point of the quadratic function.

Front

What is the axis of symmetry for the parabola y = ax² + bx + c?

Back

x = -b/(2a).