Algebra 2 Fall 24-25 Final Review #1

Front

What does a positive discriminant indicate about the solutions of a quadratic equation?

Back

A positive discriminant indicates that there are two real solutions.

Front

What does a negative discriminant indicate about the solutions of a quadratic equation?

Back

A negative discriminant indicates that there are two non-real solutions.

Front

Describe the transformations of the function y=|x+2|+2.

Back

The function is shifted left 2 units and up 2 units.

Front

Back

Front

Factor completely: 15t² - 27t - 6

Back

3(5t + 1)(t - 2).

Front

What is the quadratic formula?

Back

Front

What is the vertex form of a quadratic function?

Back

Front

What is the axis of symmetry for a quadratic function?

Back

Front

What is the significance of the leading coefficient in a quadratic function?

Back

The leading coefficient determines the direction of the parabola: if positive, it opens upwards; if negative, it opens downwards.

Front

How do you determine if a quadratic function has a maximum or minimum value?

Back

If the leading coefficient is positive, it has a minimum value; if negative, it has a maximum value.