HW. Semester Exam Review #4 (Topics 7-8)

Front

Does the equation Y = -3x² + 7x - 2 open up or down?

Back

It opens down because the coefficient of x² is negative.

Front

Solve the equation n² - 2n = 0.

Back

n = 2 and n = 0.

Front

What are the solutions of the quadratic equation x² + 2x - 15 = 0?

Back

x = -5 or x = 3.

Front

What is the vertex of the function f(x) = 4(x - 2)² + 3?

Back

The vertex is (2, 3).

Front

What is the highest or lowest point on a quadratic called?

Back

It is called the Vertex.

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 a quadratic equation determine?

Back

The 'a' value determines the direction of the parabola (upward if positive, downward if negative).

Front

How do you find the axis of symmetry for a quadratic equation?

Back

The axis of symmetry can be found using the formula x = -b/(2a).

Front

What is the quadratic formula?

Back

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

Front

What does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

The discriminant indicates the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.