Algebra 2 Midterm Review

Front

What is the product of (2i)(3i)?

Back

-6

Front

What is the DOMAIN of the graph shown: (-4, 2] ?

Back

The domain is (-4, 2].

Front

What is the maximum height of an object launched upward at 64 ft/s from a height of 80 feet, represented by s(t) = -16t² + 64t + 80?

Back

144 ft

Front

What transformation occurs to the graph of y = x² when it is changed to y = x² + 8?

Back

Shifted up 8 units.

Front

What is the point of intersection for the equations if there is no solution?

Back

No Solution.

Front

Define the term 'Quadratic Function'.

Back

A polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the vertex of a parabola represented by the equation y = ax² + bx + c?

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What does the 'discriminant' of a quadratic equation tell us?

Back

It indicates the nature of the roots: positive for two real roots, zero for one real root, and negative for two complex roots.

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 quadratic function?

Back

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