Semester 2 Final Review

Front

What is the height from which Noah kicked the soccer ball if the function is f(x) = [-14x^2 + 28x]?

Back

0 feet

Front

What is the slope of a line perpendicular to the line y = -2x - 5?

Back

1/2

Front

After how many seconds did the soccer ball reach its maximum height if the height function is f(x) = [-14x^2 + 28x]?

Back

1 second

Front

Write a quadratic function to represent the total area of a mural with width x and length 2x, with a frame border of 2.5 feet.

Back

A(x) = (x + 5)(2x + 5)

Front

Back

n = -6, 2

Front

What is the vertex form of a quadratic function?

Back

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

Front

What does the discriminant of a quadratic equation tell us?

Back

The discriminant (b^2 - 4ac) indicates the nature of the roots: two real and distinct, one real and repeated, or no real roots.

Front

How do you find the maximum height of a projectile modeled by a quadratic function?

Back

The maximum height occurs at x = -b/(2a) for the function f(x) = ax^2 + bx + c.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.