Algebra 2A Final Exam Review

Front

What is the transformation of the graph of the function y = 6 |x + 4| - 7 from the parent function?

Back

Stretch, shift 4 units to the left, 7 units down.

Front

Does the quadratic equation Y = -3x^2 + 7x - 2 open up or down?

Back

Down.

Front

What is the solution to the system of equations if the graph shows no intersection?

Back

No solution.

Front

Given the quadratic equation 7x^2 = 6x - 1, identify the values of a, b, and c for the quadratic formula.

Back

a = 7, b = -6, c = 1.

Front

What is the domain of the absolute value function?

Back

(-infinity, infinity).

Front

What is the parent function of an absolute value equation?

Back

y = |x|.

Front

How do you determine if a quadratic opens up or down?

Back

Check the coefficient of x^2; if it's positive, it opens up; if negative, it opens down.

Front

What is the vertex form of a quadratic function?

Back

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

Front

What does the discriminant of a quadratic equation tell you?

Back

It indicates the nature of the roots: positive means two real roots, zero means one real root, negative means no real roots.

Front

What is the quadratic formula?

Back

x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}.