CP Algebra 2 - Unit 2 Review

Front

What is the factored form of a quadratic equation with solutions -7 and -3?

Back

y = (x + 7)(x + 3)

Front

What is the vertex form of a parabola with vertex (1,6) that passes through (3,-18)?

Back

f(x) = -6(x - 1)² + 6

Front

How do you determine the maximum or minimum of a parabola?

Back

A parabola opens upwards (min) if the coefficient of x² is positive, and downwards (max) if negative.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does the vertex of a parabola represent?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

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

Back

The axis of symmetry is given by the formula x = -b/(2a).

Front

What is the significance of the 'a' value in a quadratic equation?

Back

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

Front

What is the difference between a maximum and minimum value in a quadratic function?

Back

Maximum is the highest point (parabola opens down), minimum is the lowest point (parabola opens up).

Front

How can you identify the direction of a parabola from its equation?

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the formula for converting from standard form to vertex form?

Back

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