Final Exam Review Unit 3

Front

What is the equation for the axis of symmetry in a parabola?

Back

The equation for the axis of symmetry is given by x = h, where h is the x-coordinate of the vertex.

Front

What does a discriminant of -3 indicate about the solutions of a quadratic equation?

Back

A discriminant of -3 indicates that there are 2 complex solutions.

Front

Solve the equation: 4m^2 + 10 = 38

Back

m = ±√7

Front

Simplify the expression: \sqrt[]{-25}

Back

5i

Front

What are the green dots on a parabola called?

Back

They are called roots, x-intercepts, solutions, or zeros.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.

Front

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

Back

The vertex can be found using the formula: (h, k) where h = -b/(2a) and k = f(h).

Front

What is the significance of the vertex in a parabola?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

What is the relationship between the roots and the factors of a quadratic equation?

Back

The roots of a quadratic equation correspond to the values of x that make the equation equal to zero, and they can be expressed as factors of the equation.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).