NC math 2 Spring 2020 Review 2

Front

What is the vertex of the parabola given by the equation y = 3(x + 5)² - 4?

Back

The vertex is (-5, -4).

Front

What is the value of x in the equation if the answer is C?

Back

The value of x corresponds to option C.

Front

Complete the square for the expression x² + 10x + ____. What number should be placed in the blank?

Back

The number is 25.

Front

In a system of equations, if the graphs of a quadratic and a linear equation do not intersect, what does this indicate about the solutions?

Back

There are no real solutions to this system.

Front

Complete the square for the expression y² - 12y + ____. What number should be placed in the blank?

Back

The number is 36.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

What does the 'a' value in the quadratic equation y = ax² + bx + c determine?

Back

The 'a' value determines the direction and width of the parabola.

Front

How do you find the axis of symmetry for a parabola given by the equation y = ax² + bx + c?

Back

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

Front

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

Back

The discriminant (b² - 4ac) determines the nature of the roots: two real solutions, one real solution, or no real solutions.

Front

What is the vertex form of a quadratic equation?

Back

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