Review before the lesson on vertex and standard form

Front

What is the vertex of the parabola represented by the equation f(x) = -x² - 4x + 12?

Back

The vertex is (-2, 16).

Front

How can you tell whether a parabola opens up or opens down by looking at the equation?

Back

The value of 'a' tells you the direction of the opening.

Front

Identify a, b, and c in the equation y = -2x² - 5x - 8.

Back

A = -2, B = -5, C = -8.

Front

Multiply (x – 5)².

Back

x² - 10x + 25.

Front

Find the product of (x + 4)(x + 2).

Back

x² + 6x + 8.

Front

What does the 'a' value in a quadratic equation indicate?

Back

The 'a' value indicates the direction of the parabola's opening and its width.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

How do you find the axis of symmetry for a parabola?

Back

The axis of symmetry can be found using the formula x = -b/(2a).

Front

What is the significance of the vertex in a parabola?

Back

The vertex represents the highest or lowest point of the parabola, depending on its direction.

Front

What is the formula to convert from standard form to vertex form?

Back

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