Cumulative Review-1st Semester Algebra 2

Front

Solve the inequality: 2x^2 + 5x ≥ 12

Back

(−∞, -4] U [1.5, ∞)

Front

Describe the transformations of the function f(x) = -2|x + 3| - 1

Back

Left 3, vertical stretch by 2, reflection over x, down 1

Front

What is the nature of the roots for the quadratic equation x^2 - 5x + 10 = 0 with a discriminant of -15?

Back

2 complex solutions

Front

How is the graph transformed from f(x) = x^2 to f(x) = - (x + 3)^2 + 2?

Back

3 units left, 2 units up, reflected across the x-axis

Front

Complete the square for the expression x^2 + 14x + ____

Back

x^2 + 14x + 49

Front

What is the vertex form of a quadratic function?

Back

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

Front

Define the discriminant in a quadratic equation.

Back

The discriminant is given by b^2 - 4ac and determines the nature of the roots.

Front

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

Back

It indicates that there are 2 complex solutions.

Front

How do you find the vertex of a parabola given in standard form?

Back

Use the formula h = -b/(2a) to find the x-coordinate, then substitute back to find k.

Front

What is the effect of a negative leading coefficient in a quadratic function?

Back

It reflects the graph across the x-axis.