A2CP S1 Exam Review

Front

What is the standard form of a quadratic function?

Back

Front

How do you calculate the future population of a species with a constant growth rate?

Back

To calculate the future population with a constant growth rate, use the formula: Future Population = Present Population * (1 + growth rate)^number of years.

Front

Back

The vertex of the parabola can be found using the formula: Vertex = (h, k) where h = -b/(2a) and k = f(h).

Front

Back

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

How do you find the nth term of a geometric sequence?

Back

Front

What is the formula for the vertex of a parabola in standard form?

Back

Front

What does it mean for a quadratic function to have no real solutions?

Back

A quadratic function has no real solutions when the discriminant (b^2 - 4ac) is less than zero.

Front

How do you determine the direction of a parabola?

Back

The direction of a parabola opens upwards if the coefficient a > 0 and downwards if a < 0.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant determines the nature of the roots of the quadratic equation: if > 0, two distinct real roots; if = 0, one real root; if < 0, no real roots.