12-20-24 Algebra II Review

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you determine if a system of equations has no solution?

Back

A system has no solution if you end up with a false statement (e.g., 3=5) when trying to solve it.

Front

What does it mean for a parabola to open up or down?

Back

A parabola opens up if the coefficient of the squared term is positive and down if it is negative.

Front

What is the vertex of a parabola?

Back

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

Front

How do you find the maximum height of a projectile?

Back

The maximum height occurs at the vertex of the parabola represented by the height function, which can be found using the formula t = -b/(2a) for the quadratic equation h(t) = at^2 + bt + c.

Front

What is the standard form of a quadratic equation?

Back

Front

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

Back

Front

What is the axis of symmetry in a parabola?

Back

Front

How do you write the equation of a parabola in vertex form?

Back

Front

What is the effect of changing the value of 'a' in the equation of a parabola?

Back

Changing 'a' affects the width and direction of the parabola: if |a| > 1, the parabola is narrower; if 0 < |a| < 1, it is wider; if a < 0, it opens down.